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Finding the Fourth Proportional to 3,141.26, 4,333.02 and 2,258.26

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Solution

The fourth proportional to 3,141.26, 4,333.02 and 2,258.26 is: 3,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.26 : 4,333.02 = 2,258.26 : x
  2. Step 2: Convert to fraction form
    3,141.26/4,333.02 = 2,258.26/x
  3. Step 3: Cross multiply
    3,141.26x = 4,333.02 × 2,258.26
  4. Step 4: Simplify right side
    3,141.26x = 9,785,085.75
  5. Step 5: Solve for x
    x = 9,785,085.75/3,141.26
  6. Step 6: Final answer
    x = 3,115.02

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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.