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Finding the Fourth Proportional to 2,744.16, 4,115.86 and 895.30

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Solution

The fourth proportional to 2,744.16, 4,115.86 and 895.30 is: 1,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.16 : 4,115.86 = 895.30 : x
  2. Step 2: Convert to fraction form
    2,744.16/4,115.86 = 895.30/x
  3. Step 3: Cross multiply
    2,744.16x = 4,115.86 × 895.30
  4. Step 4: Simplify right side
    2,744.16x = 3,684,929.46
  5. Step 5: Solve for x
    x = 3,684,929.46/2,744.16
  6. Step 6: Final answer
    x = 1,342.83

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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.