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Finding the Fourth Proportional to 3,258.96, 4,497.26 and 1,842.70

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Solution

The fourth proportional to 3,258.96, 4,497.26 and 1,842.70 is: 2,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.96 : 4,497.26 = 1,842.70 : x
  2. Step 2: Convert to fraction form
    3,258.96/4,497.26 = 1,842.70/x
  3. Step 3: Cross multiply
    3,258.96x = 4,497.26 × 1,842.70
  4. Step 4: Simplify right side
    3,258.96x = 8,287,101.00
  5. Step 5: Solve for x
    x = 8,287,101.00/3,258.96
  6. Step 6: Final answer
    x = 2,542.87

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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.