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Finding the Fourth Proportional to 2,812.74, 4,219.08 and 1,169.28

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Solution

The fourth proportional to 2,812.74, 4,219.08 and 1,169.28 is: 1,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.74 : 4,219.08 = 1,169.28 : x
  2. Step 2: Convert to fraction form
    2,812.74/4,219.08 = 1,169.28/x
  3. Step 3: Cross multiply
    2,812.74x = 4,219.08 × 1,169.28
  4. Step 4: Simplify right side
    2,812.74x = 4,933,285.86
  5. Step 5: Solve for x
    x = 4,933,285.86/2,812.74
  6. Step 6: Final answer
    x = 1,753.91

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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.