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Finding the Fourth Proportional to 3,470.43, 5,205.87 and 1,280.70

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Solution

The fourth proportional to 3,470.43, 5,205.87 and 1,280.70 is: 1,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.43 : 5,205.87 = 1,280.70 : x
  2. Step 2: Convert to fraction form
    3,470.43/5,205.87 = 1,280.70/x
  3. Step 3: Cross multiply
    3,470.43x = 5,205.87 × 1,280.70
  4. Step 4: Simplify right side
    3,470.43x = 6,667,157.71
  5. Step 5: Solve for x
    x = 6,667,157.71/3,470.43
  6. Step 6: Final answer
    x = 1,921.13

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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.