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Finding the Fourth Proportional to 3,418.46, 5,124.14 and 1,660.86

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Solution

The fourth proportional to 3,418.46, 5,124.14 and 1,660.86 is: 2,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.46 : 5,124.14 = 1,660.86 : x
  2. Step 2: Convert to fraction form
    3,418.46/5,124.14 = 1,660.86/x
  3. Step 3: Cross multiply
    3,418.46x = 5,124.14 × 1,660.86
  4. Step 4: Simplify right side
    3,418.46x = 8,510,479.16
  5. Step 5: Solve for x
    x = 8,510,479.16/3,418.46
  6. Step 6: Final answer
    x = 2,489.57

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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.