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Finding the Fourth Proportional to 3,508.77, 5,265.75 and 1,660.46

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Solution

The fourth proportional to 3,508.77, 5,265.75 and 1,660.46 is: 2,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.77 : 5,265.75 = 1,660.46 : x
  2. Step 2: Convert to fraction form
    3,508.77/5,265.75 = 1,660.46/x
  3. Step 3: Cross multiply
    3,508.77x = 5,265.75 × 1,660.46
  4. Step 4: Simplify right side
    3,508.77x = 8,743,540.92
  5. Step 5: Solve for x
    x = 8,743,540.92/3,508.77
  6. Step 6: Final answer
    x = 2,491.91

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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.