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Finding the Fourth Proportional to 2,632.40, 3,948.59 and 684.55

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Solution

The fourth proportional to 2,632.40, 3,948.59 and 684.55 is: 1,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.40 : 3,948.59 = 684.55 : x
  2. Step 2: Convert to fraction form
    2,632.40/3,948.59 = 684.55/x
  3. Step 3: Cross multiply
    2,632.40x = 3,948.59 × 684.55
  4. Step 4: Simplify right side
    2,632.40x = 2,702,987.54
  5. Step 5: Solve for x
    x = 2,702,987.54/2,632.40
  6. Step 6: Final answer
    x = 1,026.82

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.