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Finding the Fourth Proportional to 2,267.82, 3,402.32 and 880.79

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Solution

The fourth proportional to 2,267.82, 3,402.32 and 880.79 is: 1,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.82 : 3,402.32 = 880.79 : x
  2. Step 2: Convert to fraction form
    2,267.82/3,402.32 = 880.79/x
  3. Step 3: Cross multiply
    2,267.82x = 3,402.32 × 880.79
  4. Step 4: Simplify right side
    2,267.82x = 2,996,708.02
  5. Step 5: Solve for x
    x = 2,996,708.02/2,267.82
  6. Step 6: Final answer
    x = 1,321.40

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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.