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Finding the Fourth Proportional to 1,948.01, 2,922.12 and 487.17

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Solution

The fourth proportional to 1,948.01, 2,922.12 and 487.17 is: 730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.01 : 2,922.12 = 487.17 : x
  2. Step 2: Convert to fraction form
    1,948.01/2,922.12 = 487.17/x
  3. Step 3: Cross multiply
    1,948.01x = 2,922.12 × 487.17
  4. Step 4: Simplify right side
    1,948.01x = 1,423,569.20
  5. Step 5: Solve for x
    x = 1,423,569.20/1,948.01
  6. Step 6: Final answer
    x = 730.78

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