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Finding the Fourth Proportional to 2,013.52, 2,777.41 and 1,295.41

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Solution

The fourth proportional to 2,013.52, 2,777.41 and 1,295.41 is: 1,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.52 : 2,777.41 = 1,295.41 : x
  2. Step 2: Convert to fraction form
    2,013.52/2,777.41 = 1,295.41/x
  3. Step 3: Cross multiply
    2,013.52x = 2,777.41 × 1,295.41
  4. Step 4: Simplify right side
    2,013.52x = 3,597,864.32
  5. Step 5: Solve for x
    x = 3,597,864.32/2,013.52
  6. Step 6: Final answer
    x = 1,786.85

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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.