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Finding the Fourth Proportional to 1,637.52, 2,446.71 and 1,580.11

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Solution

The fourth proportional to 1,637.52, 2,446.71 and 1,580.11 is: 2,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.52 : 2,446.71 = 1,580.11 : x
  2. Step 2: Convert to fraction form
    1,637.52/2,446.71 = 1,580.11/x
  3. Step 3: Cross multiply
    1,637.52x = 2,446.71 × 1,580.11
  4. Step 4: Simplify right side
    1,637.52x = 3,866,058.90
  5. Step 5: Solve for x
    x = 3,866,058.90/1,637.52
  6. Step 6: Final answer
    x = 2,360.93

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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.