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Finding the Fourth Proportional to 3,129.88, 4,694.02 and 1,280.65

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Solution

The fourth proportional to 3,129.88, 4,694.02 and 1,280.65 is: 1,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.88 : 4,694.02 = 1,280.65 : x
  2. Step 2: Convert to fraction form
    3,129.88/4,694.02 = 1,280.65/x
  3. Step 3: Cross multiply
    3,129.88x = 4,694.02 × 1,280.65
  4. Step 4: Simplify right side
    3,129.88x = 6,011,381.78
  5. Step 5: Solve for x
    x = 6,011,381.78/3,129.88
  6. Step 6: Final answer
    x = 1,920.64

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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.