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Finding the Fourth Proportional to 1,920.52, 2,661.75 and 1,885.96

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Solution

The fourth proportional to 1,920.52, 2,661.75 and 1,885.96 is: 2,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.52 : 2,661.75 = 1,885.96 : x
  2. Step 2: Convert to fraction form
    1,920.52/2,661.75 = 1,885.96/x
  3. Step 3: Cross multiply
    1,920.52x = 2,661.75 × 1,885.96
  4. Step 4: Simplify right side
    1,920.52x = 5,019,954.03
  5. Step 5: Solve for x
    x = 5,019,954.03/1,920.52
  6. Step 6: Final answer
    x = 2,613.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.