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Finding the Fourth Proportional to 2,277.52, 3,142.94 and 1,282.89

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Solution

The fourth proportional to 2,277.52, 3,142.94 and 1,282.89 is: 1,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.52 : 3,142.94 = 1,282.89 : x
  2. Step 2: Convert to fraction form
    2,277.52/3,142.94 = 1,282.89/x
  3. Step 3: Cross multiply
    2,277.52x = 3,142.94 × 1,282.89
  4. Step 4: Simplify right side
    2,277.52x = 4,032,046.30
  5. Step 5: Solve for x
    x = 4,032,046.30/2,277.52
  6. Step 6: Final answer
    x = 1,770.37

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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.