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Finding the Fourth Proportional to 2,841.90, 3,919.23 and 1,792.14

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Solution

The fourth proportional to 2,841.90, 3,919.23 and 1,792.14 is: 2,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.90 : 3,919.23 = 1,792.14 : x
  2. Step 2: Convert to fraction form
    2,841.90/3,919.23 = 1,792.14/x
  3. Step 3: Cross multiply
    2,841.90x = 3,919.23 × 1,792.14
  4. Step 4: Simplify right side
    2,841.90x = 7,023,808.85
  5. Step 5: Solve for x
    x = 7,023,808.85/2,841.90
  6. Step 6: Final answer
    x = 2,471.52

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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.