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Finding the Fourth Proportional to 1,553.91, 2,320.08 and 1,538.31

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Solution

The fourth proportional to 1,553.91, 2,320.08 and 1,538.31 is: 2,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.91 : 2,320.08 = 1,538.31 : x
  2. Step 2: Convert to fraction form
    1,553.91/2,320.08 = 1,538.31/x
  3. Step 3: Cross multiply
    1,553.91x = 2,320.08 × 1,538.31
  4. Step 4: Simplify right side
    1,553.91x = 3,569,002.26
  5. Step 5: Solve for x
    x = 3,569,002.26/1,553.91
  6. Step 6: Final answer
    x = 2,296.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.