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Finding the Fourth Proportional to 2,186.60, 3,280.46 and 725.90

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Solution

The fourth proportional to 2,186.60, 3,280.46 and 725.90 is: 1,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.60 : 3,280.46 = 725.90 : x
  2. Step 2: Convert to fraction form
    2,186.60/3,280.46 = 725.90/x
  3. Step 3: Cross multiply
    2,186.60x = 3,280.46 × 725.90
  4. Step 4: Simplify right side
    2,186.60x = 2,381,285.91
  5. Step 5: Solve for x
    x = 2,381,285.91/2,186.60
  6. Step 6: Final answer
    x = 1,089.04

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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.