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Finding the Fourth Proportional to 3,202.67, 4,415.90 and 2,258.61

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Solution

The fourth proportional to 3,202.67, 4,415.90 and 2,258.61 is: 3,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.67 : 4,415.90 = 2,258.61 : x
  2. Step 2: Convert to fraction form
    3,202.67/4,415.90 = 2,258.61/x
  3. Step 3: Cross multiply
    3,202.67x = 4,415.90 × 2,258.61
  4. Step 4: Simplify right side
    3,202.67x = 9,973,784.61
  5. Step 5: Solve for x
    x = 9,973,784.61/3,202.67
  6. Step 6: Final answer
    x = 3,114.21

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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.