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Finding the Fourth Proportional to 1,204.27, 1,798.36 and 1,142.76

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Solution

The fourth proportional to 1,204.27, 1,798.36 and 1,142.76 is: 1,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.27 : 1,798.36 = 1,142.76 : x
  2. Step 2: Convert to fraction form
    1,204.27/1,798.36 = 1,142.76/x
  3. Step 3: Cross multiply
    1,204.27x = 1,798.36 × 1,142.76
  4. Step 4: Simplify right side
    1,204.27x = 2,055,093.87
  5. Step 5: Solve for x
    x = 2,055,093.87/1,204.27
  6. Step 6: Final answer
    x = 1,706.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.