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Finding the Fourth Proportional to 1,932, 2,899.84 and 1,202.96

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Solution

The fourth proportional to 1,932, 2,899.84 and 1,202.96 is: 1,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932 : 2,899.84 = 1,202.96 : x
  2. Step 2: Convert to fraction form
    1,932/2,899.84 = 1,202.96/x
  3. Step 3: Cross multiply
    1,932x = 2,899.84 × 1,202.96
  4. Step 4: Simplify right side
    1,932x = 3,488,391.53
  5. Step 5: Solve for x
    x = 3,488,391.53/1,932
  6. Step 6: Final answer
    x = 1,805.59

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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.