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Finding the Fourth Proportional to 2,637.57, 3,640.02 and 1,458.66

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Solution

The fourth proportional to 2,637.57, 3,640.02 and 1,458.66 is: 2,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.57 : 3,640.02 = 1,458.66 : x
  2. Step 2: Convert to fraction form
    2,637.57/3,640.02 = 1,458.66/x
  3. Step 3: Cross multiply
    2,637.57x = 3,640.02 × 1,458.66
  4. Step 4: Simplify right side
    2,637.57x = 5,309,551.57
  5. Step 5: Solve for x
    x = 5,309,551.57/2,637.57
  6. Step 6: Final answer
    x = 2,013.05

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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.