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Finding the Fourth Proportional to 2,715.80, 4,078.71 and 1,626.85

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Solution

The fourth proportional to 2,715.80, 4,078.71 and 1,626.85 is: 2,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.80 : 4,078.71 = 1,626.85 : x
  2. Step 2: Convert to fraction form
    2,715.80/4,078.71 = 1,626.85/x
  3. Step 3: Cross multiply
    2,715.80x = 4,078.71 × 1,626.85
  4. Step 4: Simplify right side
    2,715.80x = 6,635,449.36
  5. Step 5: Solve for x
    x = 6,635,449.36/2,715.80
  6. Step 6: Final answer
    x = 2,443.28

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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.