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Finding the Fourth Proportional to 2,277.72, 3,142.87 and 1,393.81

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Solution

The fourth proportional to 2,277.72, 3,142.87 and 1,393.81 is: 1,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.72 : 3,142.87 = 1,393.81 : x
  2. Step 2: Convert to fraction form
    2,277.72/3,142.87 = 1,393.81/x
  3. Step 3: Cross multiply
    2,277.72x = 3,142.87 × 1,393.81
  4. Step 4: Simplify right side
    2,277.72x = 4,380,552.29
  5. Step 5: Solve for x
    x = 4,380,552.29/2,277.72
  6. Step 6: Final answer
    x = 1,923.22

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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.