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Finding the Fourth Proportional to 2,637.70, 3,639.97 and 1,458.78

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Solution

The fourth proportional to 2,637.70, 3,639.97 and 1,458.78 is: 2,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.70 : 3,639.97 = 1,458.78 : x
  2. Step 2: Convert to fraction form
    2,637.70/3,639.97 = 1,458.78/x
  3. Step 3: Cross multiply
    2,637.70x = 3,639.97 × 1,458.78
  4. Step 4: Simplify right side
    2,637.70x = 5,309,903.61
  5. Step 5: Solve for x
    x = 5,309,903.61/2,637.70
  6. Step 6: Final answer
    x = 2,013.08

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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.