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Finding the Fourth Proportional to 2,449.60, 3,670.80 and 2,082.40

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Solution

The fourth proportional to 2,449.60, 3,670.80 and 2,082.40 is: 3,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.60 : 3,670.80 = 2,082.40 : x
  2. Step 2: Convert to fraction form
    2,449.60/3,670.80 = 2,082.40/x
  3. Step 3: Cross multiply
    2,449.60x = 3,670.80 × 2,082.40
  4. Step 4: Simplify right side
    2,449.60x = 7,644,073.92
  5. Step 5: Solve for x
    x = 7,644,073.92/2,449.60
  6. Step 6: Final answer
    x = 3,120.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.