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Finding the Fourth Proportional to 2,431.60, 3,640.92 and 2,140

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Solution

The fourth proportional to 2,431.60, 3,640.92 and 2,140 is: 3,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.60 : 3,640.92 = 2,140 : x
  2. Step 2: Convert to fraction form
    2,431.60/3,640.92 = 2,140/x
  3. Step 3: Cross multiply
    2,431.60x = 3,640.92 × 2,140
  4. Step 4: Simplify right side
    2,431.60x = 7,791,568.80
  5. Step 5: Solve for x
    x = 7,791,568.80/2,431.60
  6. Step 6: Final answer
    x = 3,204.30

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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.