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Finding the Fourth Proportional to 3,169.24, 4,753.38 and 1,117.24

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Solution

The fourth proportional to 3,169.24, 4,753.38 and 1,117.24 is: 1,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.24 : 4,753.38 = 1,117.24 : x
  2. Step 2: Convert to fraction form
    3,169.24/4,753.38 = 1,117.24/x
  3. Step 3: Cross multiply
    3,169.24x = 4,753.38 × 1,117.24
  4. Step 4: Simplify right side
    3,169.24x = 5,310,666.27
  5. Step 5: Solve for x
    x = 5,310,666.27/3,169.24
  6. Step 6: Final answer
    x = 1,675.69

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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.