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Finding the Fourth Proportional to 1,948.25, 2,922.86 and 580.25

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Solution

The fourth proportional to 1,948.25, 2,922.86 and 580.25 is: 870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.25 : 2,922.86 = 580.25 : x
  2. Step 2: Convert to fraction form
    1,948.25/2,922.86 = 580.25/x
  3. Step 3: Cross multiply
    1,948.25x = 2,922.86 × 580.25
  4. Step 4: Simplify right side
    1,948.25x = 1,695,989.52
  5. Step 5: Solve for x
    x = 1,695,989.52/1,948.25
  6. Step 6: Final answer
    x = 870.52

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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.