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Finding the Fourth Proportional to 3,113.44, 4,668.34 and 1,165.80

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Solution

The fourth proportional to 3,113.44, 4,668.34 and 1,165.80 is: 1,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.44 : 4,668.34 = 1,165.80 : x
  2. Step 2: Convert to fraction form
    3,113.44/4,668.34 = 1,165.80/x
  3. Step 3: Cross multiply
    3,113.44x = 4,668.34 × 1,165.80
  4. Step 4: Simplify right side
    3,113.44x = 5,442,350.77
  5. Step 5: Solve for x
    x = 5,442,350.77/3,113.44
  6. Step 6: Final answer
    x = 1,748.02

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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.