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Finding the Fourth Proportional to 1,954.90, 2,932.17 and 656.38

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Solution

The fourth proportional to 1,954.90, 2,932.17 and 656.38 is: 984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.90 : 2,932.17 = 656.38 : x
  2. Step 2: Convert to fraction form
    1,954.90/2,932.17 = 656.38/x
  3. Step 3: Cross multiply
    1,954.90x = 2,932.17 × 656.38
  4. Step 4: Simplify right side
    1,954.90x = 1,924,617.74
  5. Step 5: Solve for x
    x = 1,924,617.74/1,954.90
  6. Step 6: Final answer
    x = 984.51

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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.