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Finding the Fourth Proportional to 1,462.60, 2,195.10 and 1,414.60

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Solution

The fourth proportional to 1,462.60, 2,195.10 and 1,414.60 is: 2,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.60 : 2,195.10 = 1,414.60 : x
  2. Step 2: Convert to fraction form
    1,462.60/2,195.10 = 1,414.60/x
  3. Step 3: Cross multiply
    1,462.60x = 2,195.10 × 1,414.60
  4. Step 4: Simplify right side
    1,462.60x = 3,105,188.46
  5. Step 5: Solve for x
    x = 3,105,188.46/1,462.60
  6. Step 6: Final answer
    x = 2,123.06

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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.