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Finding the Fourth Proportional to 2,860.92, 3,948.13 and 2,023.10

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Solution

The fourth proportional to 2,860.92, 3,948.13 and 2,023.10 is: 2,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.92 : 3,948.13 = 2,023.10 : x
  2. Step 2: Convert to fraction form
    2,860.92/3,948.13 = 2,023.10/x
  3. Step 3: Cross multiply
    2,860.92x = 3,948.13 × 2,023.10
  4. Step 4: Simplify right side
    2,860.92x = 7,987,461.80
  5. Step 5: Solve for x
    x = 7,987,461.80/2,860.92
  6. Step 6: Final answer
    x = 2,791.92

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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.