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Finding the Fourth Proportional to 2,874.53, 3,965.39 and 1,930.53

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Solution

The fourth proportional to 2,874.53, 3,965.39 and 1,930.53 is: 2,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.53 : 3,965.39 = 1,930.53 : x
  2. Step 2: Convert to fraction form
    2,874.53/3,965.39 = 1,930.53/x
  3. Step 3: Cross multiply
    2,874.53x = 3,965.39 × 1,930.53
  4. Step 4: Simplify right side
    2,874.53x = 7,655,294.70
  5. Step 5: Solve for x
    x = 7,655,294.70/2,874.53
  6. Step 6: Final answer
    x = 2,663.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.