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Finding the Fourth Proportional to 3,270.31, 4,512.31 and 2,386.60

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Solution

The fourth proportional to 3,270.31, 4,512.31 and 2,386.60 is: 3,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.31 : 4,512.31 = 2,386.60 : x
  2. Step 2: Convert to fraction form
    3,270.31/4,512.31 = 2,386.60/x
  3. Step 3: Cross multiply
    3,270.31x = 4,512.31 × 2,386.60
  4. Step 4: Simplify right side
    3,270.31x = 10,769,079.05
  5. Step 5: Solve for x
    x = 10,769,079.05/3,270.31
  6. Step 6: Final answer
    x = 3,292.98

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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.