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Finding the Fourth Proportional to 3,449.90, 4,760.15 and 2,256.64

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Solution

The fourth proportional to 3,449.90, 4,760.15 and 2,256.64 is: 3,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.90 : 4,760.15 = 2,256.64 : x
  2. Step 2: Convert to fraction form
    3,449.90/4,760.15 = 2,256.64/x
  3. Step 3: Cross multiply
    3,449.90x = 4,760.15 × 2,256.64
  4. Step 4: Simplify right side
    3,449.90x = 10,741,921.71
  5. Step 5: Solve for x
    x = 10,741,921.71/3,449.90
  6. Step 6: Final answer
    x = 3,113.69

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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.