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Finding the Fourth Proportional to 1,469.16, 2,202.12 and 981

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Solution

The fourth proportional to 1,469.16, 2,202.12 and 981 is: 1,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.16 : 2,202.12 = 981 : x
  2. Step 2: Convert to fraction form
    1,469.16/2,202.12 = 981/x
  3. Step 3: Cross multiply
    1,469.16x = 2,202.12 × 981
  4. Step 4: Simplify right side
    1,469.16x = 2,160,279.72
  5. Step 5: Solve for x
    x = 2,160,279.72/1,469.16
  6. Step 6: Final answer
    x = 1,470.42

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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.