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Finding the Fourth Proportional to 2,957.72, 4,081.59 and 1,631.44

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Solution

The fourth proportional to 2,957.72, 4,081.59 and 1,631.44 is: 2,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.72 : 4,081.59 = 1,631.44 : x
  2. Step 2: Convert to fraction form
    2,957.72/4,081.59 = 1,631.44/x
  3. Step 3: Cross multiply
    2,957.72x = 4,081.59 × 1,631.44
  4. Step 4: Simplify right side
    2,957.72x = 6,658,874.29
  5. Step 5: Solve for x
    x = 6,658,874.29/2,957.72
  6. Step 6: Final answer
    x = 2,251.36

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