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Finding the Fourth Proportional to 2,961.28, 4,442.40 and 1,422.28

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Solution

The fourth proportional to 2,961.28, 4,442.40 and 1,422.28 is: 2,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.28 : 4,442.40 = 1,422.28 : x
  2. Step 2: Convert to fraction form
    2,961.28/4,442.40 = 1,422.28/x
  3. Step 3: Cross multiply
    2,961.28x = 4,442.40 × 1,422.28
  4. Step 4: Simplify right side
    2,961.28x = 6,318,336.67
  5. Step 5: Solve for x
    x = 6,318,336.67/2,961.28
  6. Step 6: Final answer
    x = 2,133.65

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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.