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Finding the Fourth Proportional to 2,656.48, 3,665.65 and 1,537.78

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Solution

The fourth proportional to 2,656.48, 3,665.65 and 1,537.78 is: 2,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.48 : 3,665.65 = 1,537.78 : x
  2. Step 2: Convert to fraction form
    2,656.48/3,665.65 = 1,537.78/x
  3. Step 3: Cross multiply
    2,656.48x = 3,665.65 × 1,537.78
  4. Step 4: Simplify right side
    2,656.48x = 5,636,963.26
  5. Step 5: Solve for x
    x = 5,636,963.26/2,656.48
  6. Step 6: Final answer
    x = 2,121.97

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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.