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Finding the Fourth Proportional to 1,948.92, 2,687.76 and 1,250.16

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Solution

The fourth proportional to 1,948.92, 2,687.76 and 1,250.16 is: 1,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.92 : 2,687.76 = 1,250.16 : x
  2. Step 2: Convert to fraction form
    1,948.92/2,687.76 = 1,250.16/x
  3. Step 3: Cross multiply
    1,948.92x = 2,687.76 × 1,250.16
  4. Step 4: Simplify right side
    1,948.92x = 3,360,130.04
  5. Step 5: Solve for x
    x = 3,360,130.04/1,948.92
  6. Step 6: Final answer
    x = 1,724.10

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