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Finding the Fourth Proportional to 1,507.17, 2,082.50 and 1,244.73

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Solution

The fourth proportional to 1,507.17, 2,082.50 and 1,244.73 is: 1,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.17 : 2,082.50 = 1,244.73 : x
  2. Step 2: Convert to fraction form
    1,507.17/2,082.50 = 1,244.73/x
  3. Step 3: Cross multiply
    1,507.17x = 2,082.50 × 1,244.73
  4. Step 4: Simplify right side
    1,507.17x = 2,592,144.00
  5. Step 5: Solve for x
    x = 2,592,144.00/1,507.17
  6. Step 6: Final answer
    x = 1,719.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.