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Finding the Fourth Proportional to 2,101.29, 3,147.82 and 1,920.86

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Solution

The fourth proportional to 2,101.29, 3,147.82 and 1,920.86 is: 2,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.29 : 3,147.82 = 1,920.86 : x
  2. Step 2: Convert to fraction form
    2,101.29/3,147.82 = 1,920.86/x
  3. Step 3: Cross multiply
    2,101.29x = 3,147.82 × 1,920.86
  4. Step 4: Simplify right side
    2,101.29x = 6,046,521.53
  5. Step 5: Solve for x
    x = 6,046,521.53/2,101.29
  6. Step 6: Final answer
    x = 2,877.53

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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.