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Finding the Fourth Proportional to 2,270.70, 3,406.14 and 884.79

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Solution

The fourth proportional to 2,270.70, 3,406.14 and 884.79 is: 1,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.70 : 3,406.14 = 884.79 : x
  2. Step 2: Convert to fraction form
    2,270.70/3,406.14 = 884.79/x
  3. Step 3: Cross multiply
    2,270.70x = 3,406.14 × 884.79
  4. Step 4: Simplify right side
    2,270.70x = 3,013,718.61
  5. Step 5: Solve for x
    x = 3,013,718.61/2,270.70
  6. Step 6: Final answer
    x = 1,327.22

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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.