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Finding the Fourth Proportional to 2,726.06, 4,087.87 and 876.83

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Solution

The fourth proportional to 2,726.06, 4,087.87 and 876.83 is: 1,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.06 : 4,087.87 = 876.83 : x
  2. Step 2: Convert to fraction form
    2,726.06/4,087.87 = 876.83/x
  3. Step 3: Cross multiply
    2,726.06x = 4,087.87 × 876.83
  4. Step 4: Simplify right side
    2,726.06x = 3,584,344.42
  5. Step 5: Solve for x
    x = 3,584,344.42/2,726.06
  6. Step 6: Final answer
    x = 1,314.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.