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Finding the Fourth Proportional to 3,114.75, 4,670.49 and 1,165.35

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Solution

The fourth proportional to 3,114.75, 4,670.49 and 1,165.35 is: 1,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.75 : 4,670.49 = 1,165.35 : x
  2. Step 2: Convert to fraction form
    3,114.75/4,670.49 = 1,165.35/x
  3. Step 3: Cross multiply
    3,114.75x = 4,670.49 × 1,165.35
  4. Step 4: Simplify right side
    3,114.75x = 5,442,755.52
  5. Step 5: Solve for x
    x = 5,442,755.52/3,114.75
  6. Step 6: Final answer
    x = 1,747.41

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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.