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Finding the Fourth Proportional to 3,166.43, 4,749.69 and 1,088.82

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Solution

The fourth proportional to 3,166.43, 4,749.69 and 1,088.82 is: 1,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.43 : 4,749.69 = 1,088.82 : x
  2. Step 2: Convert to fraction form
    3,166.43/4,749.69 = 1,088.82/x
  3. Step 3: Cross multiply
    3,166.43x = 4,749.69 × 1,088.82
  4. Step 4: Simplify right side
    3,166.43x = 5,171,557.47
  5. Step 5: Solve for x
    x = 5,171,557.47/3,166.43
  6. Step 6: Final answer
    x = 1,633.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.