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Finding the Fourth Proportional to 2,872.51, 3,964.19 and 1,613.55

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Solution

The fourth proportional to 2,872.51, 3,964.19 and 1,613.55 is: 2,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.51 : 3,964.19 = 1,613.55 : x
  2. Step 2: Convert to fraction form
    2,872.51/3,964.19 = 1,613.55/x
  3. Step 3: Cross multiply
    2,872.51x = 3,964.19 × 1,613.55
  4. Step 4: Simplify right side
    2,872.51x = 6,396,401.20
  5. Step 5: Solve for x
    x = 6,396,401.20/2,872.51
  6. Step 6: Final answer
    x = 2,226.76

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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.