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Finding the Fourth Proportional to 2,186.77, 3,280.61 and 726.04

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Solution

The fourth proportional to 2,186.77, 3,280.61 and 726.04 is: 1,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.77 : 3,280.61 = 726.04 : x
  2. Step 2: Convert to fraction form
    2,186.77/3,280.61 = 726.04/x
  3. Step 3: Cross multiply
    2,186.77x = 3,280.61 × 726.04
  4. Step 4: Simplify right side
    2,186.77x = 2,381,854.08
  5. Step 5: Solve for x
    x = 2,381,854.08/2,186.77
  6. Step 6: Final answer
    x = 1,089.21

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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.