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Finding the Fourth Proportional to 1,932.30, 2,898.45 and 471.47

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Solution

The fourth proportional to 1,932.30, 2,898.45 and 471.47 is: 707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.30 : 2,898.45 = 471.47 : x
  2. Step 2: Convert to fraction form
    1,932.30/2,898.45 = 471.47/x
  3. Step 3: Cross multiply
    1,932.30x = 2,898.45 × 471.47
  4. Step 4: Simplify right side
    1,932.30x = 1,366,517.73
  5. Step 5: Solve for x
    x = 1,366,517.73/1,932.30
  6. Step 6: Final answer
    x = 707.20

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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.