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Finding the Fourth Proportional to 1,691.76, 2,530.80 and 1,463.18

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Solution

The fourth proportional to 1,691.76, 2,530.80 and 1,463.18 is: 2,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.76 : 2,530.80 = 1,463.18 : x
  2. Step 2: Convert to fraction form
    1,691.76/2,530.80 = 1,463.18/x
  3. Step 3: Cross multiply
    1,691.76x = 2,530.80 × 1,463.18
  4. Step 4: Simplify right side
    1,691.76x = 3,703,027.02
  5. Step 5: Solve for x
    x = 3,703,027.02/1,691.76
  6. Step 6: Final answer
    x = 2,188.87

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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.