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Finding the Fourth Proportional to 2,065.47, 2,849.98 and 1,169.20

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Solution

The fourth proportional to 2,065.47, 2,849.98 and 1,169.20 is: 1,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.47 : 2,849.98 = 1,169.20 : x
  2. Step 2: Convert to fraction form
    2,065.47/2,849.98 = 1,169.20/x
  3. Step 3: Cross multiply
    2,065.47x = 2,849.98 × 1,169.20
  4. Step 4: Simplify right side
    2,065.47x = 3,332,196.62
  5. Step 5: Solve for x
    x = 3,332,196.62/2,065.47
  6. Step 6: Final answer
    x = 1,613.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.