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Finding the Fourth Proportional to 2,101.29, 3,149.91 and 1,920.87

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Solution

The fourth proportional to 2,101.29, 3,149.91 and 1,920.87 is: 2,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.29 : 3,149.91 = 1,920.87 : x
  2. Step 2: Convert to fraction form
    2,101.29/3,149.91 = 1,920.87/x
  3. Step 3: Cross multiply
    2,101.29x = 3,149.91 × 1,920.87
  4. Step 4: Simplify right side
    2,101.29x = 6,050,567.62
  5. Step 5: Solve for x
    x = 6,050,567.62/2,101.29
  6. Step 6: Final answer
    x = 2,879.45

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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.