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Finding the Fourth Proportional to 1,912.40, 2,869.14 and 742.76

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Solution

The fourth proportional to 1,912.40, 2,869.14 and 742.76 is: 1,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.40 : 2,869.14 = 742.76 : x
  2. Step 2: Convert to fraction form
    1,912.40/2,869.14 = 742.76/x
  3. Step 3: Cross multiply
    1,912.40x = 2,869.14 × 742.76
  4. Step 4: Simplify right side
    1,912.40x = 2,131,082.43
  5. Step 5: Solve for x
    x = 2,131,082.43/1,912.40
  6. Step 6: Final answer
    x = 1,114.35

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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.