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Finding the Fourth Proportional to 2,715.32, 4,074.50 and 1,677.86

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Solution

The fourth proportional to 2,715.32, 4,074.50 and 1,677.86 is: 2,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.32 : 4,074.50 = 1,677.86 : x
  2. Step 2: Convert to fraction form
    2,715.32/4,074.50 = 1,677.86/x
  3. Step 3: Cross multiply
    2,715.32x = 4,074.50 × 1,677.86
  4. Step 4: Simplify right side
    2,715.32x = 6,836,440.57
  5. Step 5: Solve for x
    x = 6,836,440.57/2,715.32
  6. Step 6: Final answer
    x = 2,517.73

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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.