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Finding the Fourth Proportional to 2,637.52, 3,639.84 and 1,458.61

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Solution

The fourth proportional to 2,637.52, 3,639.84 and 1,458.61 is: 2,012.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.52 : 3,639.84 = 1,458.61 : x
  2. Step 2: Convert to fraction form
    2,637.52/3,639.84 = 1,458.61/x
  3. Step 3: Cross multiply
    2,637.52x = 3,639.84 × 1,458.61
  4. Step 4: Simplify right side
    2,637.52x = 5,309,107.02
  5. Step 5: Solve for x
    x = 5,309,107.02/2,637.52
  6. Step 6: Final answer
    x = 2,012.92

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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.