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Finding the Fourth Proportional to 2,156.40, 3,230.46 and 1,229.22

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Solution

The fourth proportional to 2,156.40, 3,230.46 and 1,229.22 is: 1,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.40 : 3,230.46 = 1,229.22 : x
  2. Step 2: Convert to fraction form
    2,156.40/3,230.46 = 1,229.22/x
  3. Step 3: Cross multiply
    2,156.40x = 3,230.46 × 1,229.22
  4. Step 4: Simplify right side
    2,156.40x = 3,970,946.04
  5. Step 5: Solve for x
    x = 3,970,946.04/2,156.40
  6. Step 6: Final answer
    x = 1,841.47

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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.