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Finding the Fourth Proportional to 3,169.84, 4,363.20 and 2,284.24

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Solution

The fourth proportional to 3,169.84, 4,363.20 and 2,284.24 is: 3,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.84 : 4,363.20 = 2,284.24 : x
  2. Step 2: Convert to fraction form
    3,169.84/4,363.20 = 2,284.24/x
  3. Step 3: Cross multiply
    3,169.84x = 4,363.20 × 2,284.24
  4. Step 4: Simplify right side
    3,169.84x = 9,966,595.97
  5. Step 5: Solve for x
    x = 9,966,595.97/3,169.84
  6. Step 6: Final answer
    x = 3,144.20

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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.