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Finding the Fourth Proportional to 3,082.48, 4,254 and 2,298.64

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Solution

The fourth proportional to 3,082.48, 4,254 and 2,298.64 is: 3,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.48 : 4,254 = 2,298.64 : x
  2. Step 2: Convert to fraction form
    3,082.48/4,254 = 2,298.64/x
  3. Step 3: Cross multiply
    3,082.48x = 4,254 × 2,298.64
  4. Step 4: Simplify right side
    3,082.48x = 9,778,414.56
  5. Step 5: Solve for x
    x = 9,778,414.56/3,082.48
  6. Step 6: Final answer
    x = 3,172.26

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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.