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Finding the Fourth Proportional to 2,726.50, 4,085.70 and 2,264.80

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Solution

The fourth proportional to 2,726.50, 4,085.70 and 2,264.80 is: 3,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.50 : 4,085.70 = 2,264.80 : x
  2. Step 2: Convert to fraction form
    2,726.50/4,085.70 = 2,264.80/x
  3. Step 3: Cross multiply
    2,726.50x = 4,085.70 × 2,264.80
  4. Step 4: Simplify right side
    2,726.50x = 9,253,293.36
  5. Step 5: Solve for x
    x = 9,253,293.36/2,726.50
  6. Step 6: Final answer
    x = 3,393.84

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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.