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Finding the Fourth Proportional to 1,510.85, 2,267.19 and 1,414.87

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Solution

The fourth proportional to 1,510.85, 2,267.19 and 1,414.87 is: 2,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.85 : 2,267.19 = 1,414.87 : x
  2. Step 2: Convert to fraction form
    1,510.85/2,267.19 = 1,414.87/x
  3. Step 3: Cross multiply
    1,510.85x = 2,267.19 × 1,414.87
  4. Step 4: Simplify right side
    1,510.85x = 3,207,773.45
  5. Step 5: Solve for x
    x = 3,207,773.45/1,510.85
  6. Step 6: Final answer
    x = 2,123.15

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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.