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Finding the Fourth Proportional to 2,062.68, 2,846.17 and 1,166.46

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Solution

The fourth proportional to 2,062.68, 2,846.17 and 1,166.46 is: 1,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.68 : 2,846.17 = 1,166.46 : x
  2. Step 2: Convert to fraction form
    2,062.68/2,846.17 = 1,166.46/x
  3. Step 3: Cross multiply
    2,062.68x = 2,846.17 × 1,166.46
  4. Step 4: Simplify right side
    2,062.68x = 3,319,950.25
  5. Step 5: Solve for x
    x = 3,319,950.25/2,062.68
  6. Step 6: Final answer
    x = 1,609.54

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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.