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Finding the Fourth Proportional to 3,160.64, 4,731.24 and 2,694.08

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Solution

The fourth proportional to 3,160.64, 4,731.24 and 2,694.08 is: 4,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.64 : 4,731.24 = 2,694.08 : x
  2. Step 2: Convert to fraction form
    3,160.64/4,731.24 = 2,694.08/x
  3. Step 3: Cross multiply
    3,160.64x = 4,731.24 × 2,694.08
  4. Step 4: Simplify right side
    3,160.64x = 12,746,339.06
  5. Step 5: Solve for x
    x = 12,746,339.06/3,160.64
  6. Step 6: Final answer
    x = 4,032.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.