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Finding the Fourth Proportional to 1,920.76, 2,881.92 and 824.84

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Solution

The fourth proportional to 1,920.76, 2,881.92 and 824.84 is: 1,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.76 : 2,881.92 = 824.84 : x
  2. Step 2: Convert to fraction form
    1,920.76/2,881.92 = 824.84/x
  3. Step 3: Cross multiply
    1,920.76x = 2,881.92 × 824.84
  4. Step 4: Simplify right side
    1,920.76x = 2,377,122.89
  5. Step 5: Solve for x
    x = 2,377,122.89/1,920.76
  6. Step 6: Final answer
    x = 1,237.59

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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.