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Finding the Fourth Proportional to 1,921.23, 2,881.96 and 688.61

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Solution

The fourth proportional to 1,921.23, 2,881.96 and 688.61 is: 1,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.23 : 2,881.96 = 688.61 : x
  2. Step 2: Convert to fraction form
    1,921.23/2,881.96 = 688.61/x
  3. Step 3: Cross multiply
    1,921.23x = 2,881.96 × 688.61
  4. Step 4: Simplify right side
    1,921.23x = 1,984,546.48
  5. Step 5: Solve for x
    x = 1,984,546.48/1,921.23
  6. Step 6: Final answer
    x = 1,032.96

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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.