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Finding the Fourth Proportional to 3,166.44, 4,748.42 and 2,189.58

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Solution

The fourth proportional to 3,166.44, 4,748.42 and 2,189.58 is: 3,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.44 : 4,748.42 = 2,189.58 : x
  2. Step 2: Convert to fraction form
    3,166.44/4,748.42 = 2,189.58/x
  3. Step 3: Cross multiply
    3,166.44x = 4,748.42 × 2,189.58
  4. Step 4: Simplify right side
    3,166.44x = 10,397,045.46
  5. Step 5: Solve for x
    x = 10,397,045.46/3,166.44
  6. Step 6: Final answer
    x = 3,283.51

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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.