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Finding the Fourth Proportional to 2,277.65, 3,142.80 and 1,282.74

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Solution

The fourth proportional to 2,277.65, 3,142.80 and 1,282.74 is: 1,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.65 : 3,142.80 = 1,282.74 : x
  2. Step 2: Convert to fraction form
    2,277.65/3,142.80 = 1,282.74/x
  3. Step 3: Cross multiply
    2,277.65x = 3,142.80 × 1,282.74
  4. Step 4: Simplify right side
    2,277.65x = 4,031,383.49
  5. Step 5: Solve for x
    x = 4,031,383.49/2,277.65
  6. Step 6: Final answer
    x = 1,769.97

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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.