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Finding the Fourth Proportional to 2,013.75, 2,778.50 and 1,129.47

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Solution

The fourth proportional to 2,013.75, 2,778.50 and 1,129.47 is: 1,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.75 : 2,778.50 = 1,129.47 : x
  2. Step 2: Convert to fraction form
    2,013.75/2,778.50 = 1,129.47/x
  3. Step 3: Cross multiply
    2,013.75x = 2,778.50 × 1,129.47
  4. Step 4: Simplify right side
    2,013.75x = 3,138,226.75
  5. Step 5: Solve for x
    x = 3,138,226.75/2,013.75
  6. Step 6: Final answer
    x = 1,558.40

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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.