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Finding the Fourth Proportional to 1,921.38, 2,882.33 and 688.53

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Solution

The fourth proportional to 1,921.38, 2,882.33 and 688.53 is: 1,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.38 : 2,882.33 = 688.53 : x
  2. Step 2: Convert to fraction form
    1,921.38/2,882.33 = 688.53/x
  3. Step 3: Cross multiply
    1,921.38x = 2,882.33 × 688.53
  4. Step 4: Simplify right side
    1,921.38x = 1,984,570.67
  5. Step 5: Solve for x
    x = 1,984,570.67/1,921.38
  6. Step 6: Final answer
    x = 1,032.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.