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Finding the Fourth Proportional to 2,449.60, 3,380.40 and 1,610.40

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Solution

The fourth proportional to 2,449.60, 3,380.40 and 1,610.40 is: 2,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.60 : 3,380.40 = 1,610.40 : x
  2. Step 2: Convert to fraction form
    2,449.60/3,380.40 = 1,610.40/x
  3. Step 3: Cross multiply
    2,449.60x = 3,380.40 × 1,610.40
  4. Step 4: Simplify right side
    2,449.60x = 5,443,796.16
  5. Step 5: Solve for x
    x = 5,443,796.16/2,449.60
  6. Step 6: Final answer
    x = 2,222.32

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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.