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Finding the Fourth Proportional to 2,700.87, 3,727.20 and 1,458.87

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Solution

The fourth proportional to 2,700.87, 3,727.20 and 1,458.87 is: 2,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.87 : 3,727.20 = 1,458.87 : x
  2. Step 2: Convert to fraction form
    2,700.87/3,727.20 = 1,458.87/x
  3. Step 3: Cross multiply
    2,700.87x = 3,727.20 × 1,458.87
  4. Step 4: Simplify right side
    2,700.87x = 5,437,490.95
  5. Step 5: Solve for x
    x = 5,437,490.95/2,700.87
  6. Step 6: Final answer
    x = 2,013.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.