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Finding the Fourth Proportional to 1,863.62, 2,795.82 and 631.90

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Solution

The fourth proportional to 1,863.62, 2,795.82 and 631.90 is: 947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.62 : 2,795.82 = 631.90 : x
  2. Step 2: Convert to fraction form
    1,863.62/2,795.82 = 631.90/x
  3. Step 3: Cross multiply
    1,863.62x = 2,795.82 × 631.90
  4. Step 4: Simplify right side
    1,863.62x = 1,766,678.66
  5. Step 5: Solve for x
    x = 1,766,678.66/1,863.62
  6. Step 6: Final answer
    x = 947.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.