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Finding the Fourth Proportional to 1,952.78, 2,693.72 and 1,289.39

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Solution

The fourth proportional to 1,952.78, 2,693.72 and 1,289.39 is: 1,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.78 : 2,693.72 = 1,289.39 : x
  2. Step 2: Convert to fraction form
    1,952.78/2,693.72 = 1,289.39/x
  3. Step 3: Cross multiply
    1,952.78x = 2,693.72 × 1,289.39
  4. Step 4: Simplify right side
    1,952.78x = 3,473,245.39
  5. Step 5: Solve for x
    x = 3,473,245.39/1,952.78
  6. Step 6: Final answer
    x = 1,778.62

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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.