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Finding the Fourth Proportional to 1,954.80, 2,930.76 and 722.21

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Solution

The fourth proportional to 1,954.80, 2,930.76 and 722.21 is: 1,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.80 : 2,930.76 = 722.21 : x
  2. Step 2: Convert to fraction form
    1,954.80/2,930.76 = 722.21/x
  3. Step 3: Cross multiply
    1,954.80x = 2,930.76 × 722.21
  4. Step 4: Simplify right side
    1,954.80x = 2,116,609.53
  5. Step 5: Solve for x
    x = 2,116,609.53/1,954.80
  6. Step 6: Final answer
    x = 1,082.78

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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.