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Finding the Fourth Proportional to 2,700.38, 3,726.52 and 1,458.38

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Solution

The fourth proportional to 2,700.38, 3,726.52 and 1,458.38 is: 2,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.38 : 3,726.52 = 1,458.38 : x
  2. Step 2: Convert to fraction form
    2,700.38/3,726.52 = 1,458.38/x
  3. Step 3: Cross multiply
    2,700.38x = 3,726.52 × 1,458.38
  4. Step 4: Simplify right side
    2,700.38x = 5,434,659.96
  5. Step 5: Solve for x
    x = 5,434,659.96/2,700.38
  6. Step 6: Final answer
    x = 2,012.56

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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.