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Finding the Fourth Proportional to 1,540.62, 2,309.22 and 717.66

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Solution

The fourth proportional to 1,540.62, 2,309.22 and 717.66 is: 1,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.62 : 2,309.22 = 717.66 : x
  2. Step 2: Convert to fraction form
    1,540.62/2,309.22 = 717.66/x
  3. Step 3: Cross multiply
    1,540.62x = 2,309.22 × 717.66
  4. Step 4: Simplify right side
    1,540.62x = 1,657,234.83
  5. Step 5: Solve for x
    x = 1,657,234.83/1,540.62
  6. Step 6: Final answer
    x = 1,075.69

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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.