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Finding the Fourth Proportional to 2,073.82, 2,862.11 and 1,165.48

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Solution

The fourth proportional to 2,073.82, 2,862.11 and 1,165.48 is: 1,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.82 : 2,862.11 = 1,165.48 : x
  2. Step 2: Convert to fraction form
    2,073.82/2,862.11 = 1,165.48/x
  3. Step 3: Cross multiply
    2,073.82x = 2,862.11 × 1,165.48
  4. Step 4: Simplify right side
    2,073.82x = 3,335,727.72
  5. Step 5: Solve for x
    x = 3,335,727.72/2,073.82
  6. Step 6: Final answer
    x = 1,608.50

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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.