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Finding the Fourth Proportional to 3,129.53, 4,694.30 and 1,280.64

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Solution

The fourth proportional to 3,129.53, 4,694.30 and 1,280.64 is: 1,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.53 : 4,694.30 = 1,280.64 : x
  2. Step 2: Convert to fraction form
    3,129.53/4,694.30 = 1,280.64/x
  3. Step 3: Cross multiply
    3,129.53x = 4,694.30 × 1,280.64
  4. Step 4: Simplify right side
    3,129.53x = 6,011,724.35
  5. Step 5: Solve for x
    x = 6,011,724.35/3,129.53
  6. Step 6: Final answer
    x = 1,920.97

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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.