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Finding the Fourth Proportional to 3,114.76, 4,670.52 and 1,165.48

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Solution

The fourth proportional to 3,114.76, 4,670.52 and 1,165.48 is: 1,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.76 : 4,670.52 = 1,165.48 : x
  2. Step 2: Convert to fraction form
    3,114.76/4,670.52 = 1,165.48/x
  3. Step 3: Cross multiply
    3,114.76x = 4,670.52 × 1,165.48
  4. Step 4: Simplify right side
    3,114.76x = 5,443,397.65
  5. Step 5: Solve for x
    x = 5,443,397.65/3,114.76
  6. Step 6: Final answer
    x = 1,747.61

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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.