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Finding the Fourth Proportional to 2,778.26, 4,167.40 and 726.26

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Solution

The fourth proportional to 2,778.26, 4,167.40 and 726.26 is: 1,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.26 : 4,167.40 = 726.26 : x
  2. Step 2: Convert to fraction form
    2,778.26/4,167.40 = 726.26/x
  3. Step 3: Cross multiply
    2,778.26x = 4,167.40 × 726.26
  4. Step 4: Simplify right side
    2,778.26x = 3,026,615.92
  5. Step 5: Solve for x
    x = 3,026,615.92/2,778.26
  6. Step 6: Final answer
    x = 1,089.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.