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Finding the Fourth Proportional to 2,957.60, 4,081.50 and 1,631.24

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Solution

The fourth proportional to 2,957.60, 4,081.50 and 1,631.24 is: 2,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.60 : 4,081.50 = 1,631.24 : x
  2. Step 2: Convert to fraction form
    2,957.60/4,081.50 = 1,631.24/x
  3. Step 3: Cross multiply
    2,957.60x = 4,081.50 × 1,631.24
  4. Step 4: Simplify right side
    2,957.60x = 6,657,906.06
  5. Step 5: Solve for x
    x = 6,657,906.06/2,957.60
  6. Step 6: Final answer
    x = 2,251.12

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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.