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Finding the Fourth Proportional to 2,013.54, 2,781.36 and 1,576.92

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Solution

The fourth proportional to 2,013.54, 2,781.36 and 1,576.92 is: 2,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.54 : 2,781.36 = 1,576.92 : x
  2. Step 2: Convert to fraction form
    2,013.54/2,781.36 = 1,576.92/x
  3. Step 3: Cross multiply
    2,013.54x = 2,781.36 × 1,576.92
  4. Step 4: Simplify right side
    2,013.54x = 4,385,982.21
  5. Step 5: Solve for x
    x = 4,385,982.21/2,013.54
  6. Step 6: Final answer
    x = 2,178.24

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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.