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Finding the Fourth Proportional to 3,082.56, 4,254.08 and 2,298.72

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Solution

The fourth proportional to 3,082.56, 4,254.08 and 2,298.72 is: 3,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.56 : 4,254.08 = 2,298.72 : x
  2. Step 2: Convert to fraction form
    3,082.56/4,254.08 = 2,298.72/x
  3. Step 3: Cross multiply
    3,082.56x = 4,254.08 × 2,298.72
  4. Step 4: Simplify right side
    3,082.56x = 9,778,938.78
  5. Step 5: Solve for x
    x = 9,778,938.78/3,082.56
  6. Step 6: Final answer
    x = 3,172.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.