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Finding the Fourth Proportional to 1,716.68, 2,569.26 and 1,425.80

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Solution

The fourth proportional to 1,716.68, 2,569.26 and 1,425.80 is: 2,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.68 : 2,569.26 = 1,425.80 : x
  2. Step 2: Convert to fraction form
    1,716.68/2,569.26 = 1,425.80/x
  3. Step 3: Cross multiply
    1,716.68x = 2,569.26 × 1,425.80
  4. Step 4: Simplify right side
    1,716.68x = 3,663,250.91
  5. Step 5: Solve for x
    x = 3,663,250.91/1,716.68
  6. Step 6: Final answer
    x = 2,133.92

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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.