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Finding the Fourth Proportional to 1,716.87, 2,575.07 and 742.85

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Solution

The fourth proportional to 1,716.87, 2,575.07 and 742.85 is: 1,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.87 : 2,575.07 = 742.85 : x
  2. Step 2: Convert to fraction form
    1,716.87/2,575.07 = 742.85/x
  3. Step 3: Cross multiply
    1,716.87x = 2,575.07 × 742.85
  4. Step 4: Simplify right side
    1,716.87x = 1,912,890.75
  5. Step 5: Solve for x
    x = 1,912,890.75/1,716.87
  6. Step 6: Final answer
    x = 1,114.17

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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.