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Finding the Fourth Proportional to 2,282.76, 3,142.59 and 2,178.27

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Solution

The fourth proportional to 2,282.76, 3,142.59 and 2,178.27 is: 2,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.76 : 3,142.59 = 2,178.27 : x
  2. Step 2: Convert to fraction form
    2,282.76/3,142.59 = 2,178.27/x
  3. Step 3: Cross multiply
    2,282.76x = 3,142.59 × 2,178.27
  4. Step 4: Simplify right side
    2,282.76x = 6,845,409.52
  5. Step 5: Solve for x
    x = 6,845,409.52/2,282.76
  6. Step 6: Final answer
    x = 2,998.74

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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.