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Finding the Fourth Proportional to 1,954.68, 2,930.23 and 721.23

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Solution

The fourth proportional to 1,954.68, 2,930.23 and 721.23 is: 1,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.68 : 2,930.23 = 721.23 : x
  2. Step 2: Convert to fraction form
    1,954.68/2,930.23 = 721.23/x
  3. Step 3: Cross multiply
    1,954.68x = 2,930.23 × 721.23
  4. Step 4: Simplify right side
    1,954.68x = 2,113,369.78
  5. Step 5: Solve for x
    x = 2,113,369.78/1,954.68
  6. Step 6: Final answer
    x = 1,081.18

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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.