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Finding the Fourth Proportional to 3,364.75, 4,643.25 and 1,948.24

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Solution

The fourth proportional to 3,364.75, 4,643.25 and 1,948.24 is: 2,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.75 : 4,643.25 = 1,948.24 : x
  2. Step 2: Convert to fraction form
    3,364.75/4,643.25 = 1,948.24/x
  3. Step 3: Cross multiply
    3,364.75x = 4,643.25 × 1,948.24
  4. Step 4: Simplify right side
    3,364.75x = 9,046,165.38
  5. Step 5: Solve for x
    x = 9,046,165.38/3,364.75
  6. Step 6: Final answer
    x = 2,688.51

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Half scale
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Double scale
Find fourth proportional to 3,365.75, 4,644.63 and 1,949.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.