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Finding the Fourth Proportional to 1,911.57, 2,854.41 and 1,517.14

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Solution

The fourth proportional to 1,911.57, 2,854.41 and 1,517.14 is: 2,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.57 : 2,854.41 = 1,517.14 : x
  2. Step 2: Convert to fraction form
    1,911.57/2,854.41 = 1,517.14/x
  3. Step 3: Cross multiply
    1,911.57x = 2,854.41 × 1,517.14
  4. Step 4: Simplify right side
    1,911.57x = 4,330,539.14
  5. Step 5: Solve for x
    x = 4,330,539.14/1,911.57
  6. Step 6: Final answer
    x = 2,265.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.