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Finding the Fourth Proportional to 2,013.62, 2,778.99 and 1,228.46

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Solution

The fourth proportional to 2,013.62, 2,778.99 and 1,228.46 is: 1,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.62 : 2,778.99 = 1,228.46 : x
  2. Step 2: Convert to fraction form
    2,013.62/2,778.99 = 1,228.46/x
  3. Step 3: Cross multiply
    2,013.62x = 2,778.99 × 1,228.46
  4. Step 4: Simplify right side
    2,013.62x = 3,413,878.06
  5. Step 5: Solve for x
    x = 3,413,878.06/2,013.62
  6. Step 6: Final answer
    x = 1,695.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.