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Finding the Fourth Proportional to 1,922.16, 2,881.16 and 932.88

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Solution

The fourth proportional to 1,922.16, 2,881.16 and 932.88 is: 1,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.16 : 2,881.16 = 932.88 : x
  2. Step 2: Convert to fraction form
    1,922.16/2,881.16 = 932.88/x
  3. Step 3: Cross multiply
    1,922.16x = 2,881.16 × 932.88
  4. Step 4: Simplify right side
    1,922.16x = 2,687,776.54
  5. Step 5: Solve for x
    x = 2,687,776.54/1,922.16
  6. Step 6: Final answer
    x = 1,398.31

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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.