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Finding the Fourth Proportional to 2,842.62, 4,258.25 and 2,258.61

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Solution

The fourth proportional to 2,842.62, 4,258.25 and 2,258.61 is: 3,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.62 : 4,258.25 = 2,258.61 : x
  2. Step 2: Convert to fraction form
    2,842.62/4,258.25 = 2,258.61/x
  3. Step 3: Cross multiply
    2,842.62x = 4,258.25 × 2,258.61
  4. Step 4: Simplify right side
    2,842.62x = 9,617,726.03
  5. Step 5: Solve for x
    x = 9,617,726.03/2,842.62
  6. Step 6: Final answer
    x = 3,383.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.