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Finding the Fourth Proportional to 2,253.60, 3,380.40 and 1,330.20

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Solution

The fourth proportional to 2,253.60, 3,380.40 and 1,330.20 is: 1,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.60 : 3,380.40 = 1,330.20 : x
  2. Step 2: Convert to fraction form
    2,253.60/3,380.40 = 1,330.20/x
  3. Step 3: Cross multiply
    2,253.60x = 3,380.40 × 1,330.20
  4. Step 4: Simplify right side
    2,253.60x = 4,496,608.08
  5. Step 5: Solve for x
    x = 4,496,608.08/2,253.60
  6. Step 6: Final answer
    x = 1,995.30

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