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Finding the Fourth Proportional to 1,716.87, 2,575.03 and 546.71

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Solution

The fourth proportional to 1,716.87, 2,575.03 and 546.71 is: 819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.87 : 2,575.03 = 546.71 : x
  2. Step 2: Convert to fraction form
    1,716.87/2,575.03 = 546.71/x
  3. Step 3: Cross multiply
    1,716.87x = 2,575.03 × 546.71
  4. Step 4: Simplify right side
    1,716.87x = 1,407,794.65
  5. Step 5: Solve for x
    x = 1,407,794.65/1,716.87
  6. Step 6: Final answer
    x = 819.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.