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Finding the Fourth Proportional to 2,957.46, 4,081.38 and 1,631.25

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Solution

The fourth proportional to 2,957.46, 4,081.38 and 1,631.25 is: 2,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.46 : 4,081.38 = 1,631.25 : x
  2. Step 2: Convert to fraction form
    2,957.46/4,081.38 = 1,631.25/x
  3. Step 3: Cross multiply
    2,957.46x = 4,081.38 × 1,631.25
  4. Step 4: Simplify right side
    2,957.46x = 6,657,751.13
  5. Step 5: Solve for x
    x = 6,657,751.13/2,957.46
  6. Step 6: Final answer
    x = 2,251.17

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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.