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Finding the Fourth Proportional to 3,129.57, 4,694.31 and 1,280.16

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Solution

The fourth proportional to 3,129.57, 4,694.31 and 1,280.16 is: 1,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.57 : 4,694.31 = 1,280.16 : x
  2. Step 2: Convert to fraction form
    3,129.57/4,694.31 = 1,280.16/x
  3. Step 3: Cross multiply
    3,129.57x = 4,694.31 × 1,280.16
  4. Step 4: Simplify right side
    3,129.57x = 6,009,467.89
  5. Step 5: Solve for x
    x = 6,009,467.89/3,129.57
  6. Step 6: Final answer
    x = 1,920.22

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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.