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Finding the Fourth Proportional to 2,726.64, 3,758.49 and 2,500.65

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Solution

The fourth proportional to 2,726.64, 3,758.49 and 2,500.65 is: 3,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.64 : 3,758.49 = 2,500.65 : x
  2. Step 2: Convert to fraction form
    2,726.64/3,758.49 = 2,500.65/x
  3. Step 3: Cross multiply
    2,726.64x = 3,758.49 × 2,500.65
  4. Step 4: Simplify right side
    2,726.64x = 9,398,668.02
  5. Step 5: Solve for x
    x = 9,398,668.02/2,726.64
  6. Step 6: Final answer
    x = 3,446.98

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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.