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Finding the Fourth Proportional to 3,074.87, 4,614.65 and 2,255.28

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Solution

The fourth proportional to 3,074.87, 4,614.65 and 2,255.28 is: 3,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.87 : 4,614.65 = 2,255.28 : x
  2. Step 2: Convert to fraction form
    3,074.87/4,614.65 = 2,255.28/x
  3. Step 3: Cross multiply
    3,074.87x = 4,614.65 × 2,255.28
  4. Step 4: Simplify right side
    3,074.87x = 10,407,320.41
  5. Step 5: Solve for x
    x = 10,407,320.41/3,074.87
  6. Step 6: Final answer
    x = 3,384.64

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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.