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Finding the Fourth Proportional to 2,013.52, 2,778.48 and 1,129.36

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Solution

The fourth proportional to 2,013.52, 2,778.48 and 1,129.36 is: 1,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.52 : 2,778.48 = 1,129.36 : x
  2. Step 2: Convert to fraction form
    2,013.52/2,778.48 = 1,129.36/x
  3. Step 3: Cross multiply
    2,013.52x = 2,778.48 × 1,129.36
  4. Step 4: Simplify right side
    2,013.52x = 3,137,904.17
  5. Step 5: Solve for x
    x = 3,137,904.17/2,013.52
  6. Step 6: Final answer
    x = 1,558.42

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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.