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Finding the Fourth Proportional to 1,924, 2,885.04 and 769.44

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Solution

The fourth proportional to 1,924, 2,885.04 and 769.44 is: 1,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924 : 2,885.04 = 769.44 : x
  2. Step 2: Convert to fraction form
    1,924/2,885.04 = 769.44/x
  3. Step 3: Cross multiply
    1,924x = 2,885.04 × 769.44
  4. Step 4: Simplify right side
    1,924x = 2,219,865.18
  5. Step 5: Solve for x
    x = 2,219,865.18/1,924
  6. Step 6: Final answer
    x = 1,153.78

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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.