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Finding the Fourth Proportional to 1,224.02, 1,845.20 and 1,142.55

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Solution

The fourth proportional to 1,224.02, 1,845.20 and 1,142.55 is: 1,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.02 : 1,845.20 = 1,142.55 : x
  2. Step 2: Convert to fraction form
    1,224.02/1,845.20 = 1,142.55/x
  3. Step 3: Cross multiply
    1,224.02x = 1,845.20 × 1,142.55
  4. Step 4: Simplify right side
    1,224.02x = 2,108,229.69
  5. Step 5: Solve for x
    x = 2,108,229.69/1,224.02
  6. Step 6: Final answer
    x = 1,722.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.