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Finding the Fourth Proportional to 2,957.32, 4,081.04 and 1,631.14

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Solution

The fourth proportional to 2,957.32, 4,081.04 and 1,631.14 is: 2,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.32 : 4,081.04 = 1,631.14 : x
  2. Step 2: Convert to fraction form
    2,957.32/4,081.04 = 1,631.14/x
  3. Step 3: Cross multiply
    2,957.32x = 4,081.04 × 1,631.14
  4. Step 4: Simplify right side
    2,957.32x = 6,656,747.59
  5. Step 5: Solve for x
    x = 6,656,747.59/2,957.32
  6. Step 6: Final answer
    x = 2,250.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.