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Finding the Fourth Proportional to 2,230.60, 3,073.44 and 1,640.20

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Solution

The fourth proportional to 2,230.60, 3,073.44 and 1,640.20 is: 2,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.60 : 3,073.44 = 1,640.20 : x
  2. Step 2: Convert to fraction form
    2,230.60/3,073.44 = 1,640.20/x
  3. Step 3: Cross multiply
    2,230.60x = 3,073.44 × 1,640.20
  4. Step 4: Simplify right side
    2,230.60x = 5,041,056.29
  5. Step 5: Solve for x
    x = 5,041,056.29/2,230.60
  6. Step 6: Final answer
    x = 2,259.96

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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.