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Finding the Fourth Proportional to 1,631.75, 2,251.87 and 1,002.07

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Solution

The fourth proportional to 1,631.75, 2,251.87 and 1,002.07 is: 1,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.75 : 2,251.87 = 1,002.07 : x
  2. Step 2: Convert to fraction form
    1,631.75/2,251.87 = 1,002.07/x
  3. Step 3: Cross multiply
    1,631.75x = 2,251.87 × 1,002.07
  4. Step 4: Simplify right side
    1,631.75x = 2,256,531.37
  5. Step 5: Solve for x
    x = 2,256,531.37/1,631.75
  6. Step 6: Final answer
    x = 1,382.89

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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.