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Finding the Fourth Proportional to 2,838.26, 4,258.10 and 2,255.47

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Solution

The fourth proportional to 2,838.26, 4,258.10 and 2,255.47 is: 3,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.26 : 4,258.10 = 2,255.47 : x
  2. Step 2: Convert to fraction form
    2,838.26/4,258.10 = 2,255.47/x
  3. Step 3: Cross multiply
    2,838.26x = 4,258.10 × 2,255.47
  4. Step 4: Simplify right side
    2,838.26x = 9,604,011.80
  5. Step 5: Solve for x
    x = 9,604,011.80/2,838.26
  6. Step 6: Final answer
    x = 3,383.76

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