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Finding the Fourth Proportional to 2,792.18, 3,854.04 and 1,673.84

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Solution

The fourth proportional to 2,792.18, 3,854.04 and 1,673.84 is: 2,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.18 : 3,854.04 = 1,673.84 : x
  2. Step 2: Convert to fraction form
    2,792.18/3,854.04 = 1,673.84/x
  3. Step 3: Cross multiply
    2,792.18x = 3,854.04 × 1,673.84
  4. Step 4: Simplify right side
    2,792.18x = 6,451,046.31
  5. Step 5: Solve for x
    x = 6,451,046.31/2,792.18
  6. Step 6: Final answer
    x = 2,310.40

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Why These Related Problems?

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