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Finding the Fourth Proportional to 3,082.96, 4,254.96 and 2,424.80

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Solution

The fourth proportional to 3,082.96, 4,254.96 and 2,424.80 is: 3,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.96 : 4,254.96 = 2,424.80 : x
  2. Step 2: Convert to fraction form
    3,082.96/4,254.96 = 2,424.80/x
  3. Step 3: Cross multiply
    3,082.96x = 4,254.96 × 2,424.80
  4. Step 4: Simplify right side
    3,082.96x = 10,317,446.74
  5. Step 5: Solve for x
    x = 10,317,446.74/3,082.96
  6. Step 6: Final answer
    x = 3,346.60

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1.5x scale

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.