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Finding the Fourth Proportional to 2,202.76, 3,301.26 and 970.48

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Solution

The fourth proportional to 2,202.76, 3,301.26 and 970.48 is: 1,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.76 : 3,301.26 = 970.48 : x
  2. Step 2: Convert to fraction form
    2,202.76/3,301.26 = 970.48/x
  3. Step 3: Cross multiply
    2,202.76x = 3,301.26 × 970.48
  4. Step 4: Simplify right side
    2,202.76x = 3,203,806.80
  5. Step 5: Solve for x
    x = 3,203,806.80/2,202.76
  6. Step 6: Final answer
    x = 1,454.45

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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.