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Finding the Fourth Proportional to 1,493.77, 2,241.10 and 763.86

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Solution

The fourth proportional to 1,493.77, 2,241.10 and 763.86 is: 1,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.77 : 2,241.10 = 763.86 : x
  2. Step 2: Convert to fraction form
    1,493.77/2,241.10 = 763.86/x
  3. Step 3: Cross multiply
    1,493.77x = 2,241.10 × 763.86
  4. Step 4: Simplify right side
    1,493.77x = 1,711,877.35
  5. Step 5: Solve for x
    x = 1,711,877.35/1,493.77
  6. Step 6: Final answer
    x = 1,146.02

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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.