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Finding the Fourth Proportional to 2,654.59, 3,663.41 and 1,592.53

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Solution

The fourth proportional to 2,654.59, 3,663.41 and 1,592.53 is: 2,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.59 : 3,663.41 = 1,592.53 : x
  2. Step 2: Convert to fraction form
    2,654.59/3,663.41 = 1,592.53/x
  3. Step 3: Cross multiply
    2,654.59x = 3,663.41 × 1,592.53
  4. Step 4: Simplify right side
    2,654.59x = 5,834,090.33
  5. Step 5: Solve for x
    x = 5,834,090.33/2,654.59
  6. Step 6: Final answer
    x = 2,197.74

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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.