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Finding the Fourth Proportional to 2,792.44, 4,169.04 and 2,306.44

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Solution

The fourth proportional to 2,792.44, 4,169.04 and 2,306.44 is: 3,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.44 : 4,169.04 = 2,306.44 : x
  2. Step 2: Convert to fraction form
    2,792.44/4,169.04 = 2,306.44/x
  3. Step 3: Cross multiply
    2,792.44x = 4,169.04 × 2,306.44
  4. Step 4: Simplify right side
    2,792.44x = 9,615,640.62
  5. Step 5: Solve for x
    x = 9,615,640.62/2,792.44
  6. Step 6: Final answer
    x = 3,443.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.