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Finding the Fourth Proportional to 3,125.97, 4,689.56 and 1,666.76

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Solution

The fourth proportional to 3,125.97, 4,689.56 and 1,666.76 is: 2,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.97 : 4,689.56 = 1,666.76 : x
  2. Step 2: Convert to fraction form
    3,125.97/4,689.56 = 1,666.76/x
  3. Step 3: Cross multiply
    3,125.97x = 4,689.56 × 1,666.76
  4. Step 4: Simplify right side
    3,125.97x = 7,816,371.03
  5. Step 5: Solve for x
    x = 7,816,371.03/3,125.97
  6. Step 6: Final answer
    x = 2,500.46

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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.