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Finding the Fourth Proportional to 2,657.55, 3,666.56 and 1,663.23

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Solution

The fourth proportional to 2,657.55, 3,666.56 and 1,663.23 is: 2,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.55 : 3,666.56 = 1,663.23 : x
  2. Step 2: Convert to fraction form
    2,657.55/3,666.56 = 1,663.23/x
  3. Step 3: Cross multiply
    2,657.55x = 3,666.56 × 1,663.23
  4. Step 4: Simplify right side
    2,657.55x = 6,098,324.27
  5. Step 5: Solve for x
    x = 6,098,324.27/2,657.55
  6. Step 6: Final answer
    x = 2,294.72

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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.