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Finding the Fourth Proportional to 1,540.52, 2,309.24 and 566.36

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Solution

The fourth proportional to 1,540.52, 2,309.24 and 566.36 is: 848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.52 : 2,309.24 = 566.36 : x
  2. Step 2: Convert to fraction form
    1,540.52/2,309.24 = 566.36/x
  3. Step 3: Cross multiply
    1,540.52x = 2,309.24 × 566.36
  4. Step 4: Simplify right side
    1,540.52x = 1,307,861.17
  5. Step 5: Solve for x
    x = 1,307,861.17/1,540.52
  6. Step 6: Final answer
    x = 848.97

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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.