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Finding the Fourth Proportional to 1,861.97, 2,569.52 and 1,163.34

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Solution

The fourth proportional to 1,861.97, 2,569.52 and 1,163.34 is: 1,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.97 : 2,569.52 = 1,163.34 : x
  2. Step 2: Convert to fraction form
    1,861.97/2,569.52 = 1,163.34/x
  3. Step 3: Cross multiply
    1,861.97x = 2,569.52 × 1,163.34
  4. Step 4: Simplify right side
    1,861.97x = 2,989,219.58
  5. Step 5: Solve for x
    x = 2,989,219.58/1,861.97
  6. Step 6: Final answer
    x = 1,605.41

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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.