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Finding the Fourth Proportional to 2,689.45, 3,711.42 and 1,478.15

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Solution

The fourth proportional to 2,689.45, 3,711.42 and 1,478.15 is: 2,039.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.45 : 3,711.42 = 1,478.15 : x
  2. Step 2: Convert to fraction form
    2,689.45/3,711.42 = 1,478.15/x
  3. Step 3: Cross multiply
    2,689.45x = 3,711.42 × 1,478.15
  4. Step 4: Simplify right side
    2,689.45x = 5,486,041.02
  5. Step 5: Solve for x
    x = 5,486,041.02/2,689.45
  6. Step 6: Final answer
    x = 2,039.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.