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Finding the Fourth Proportional to 2,566.13, 3,849.17 and 717.26

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Solution

The fourth proportional to 2,566.13, 3,849.17 and 717.26 is: 1,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.13 : 3,849.17 = 717.26 : x
  2. Step 2: Convert to fraction form
    2,566.13/3,849.17 = 717.26/x
  3. Step 3: Cross multiply
    2,566.13x = 3,849.17 × 717.26
  4. Step 4: Simplify right side
    2,566.13x = 2,760,832.84
  5. Step 5: Solve for x
    x = 2,760,832.84/2,566.13
  6. Step 6: Final answer
    x = 1,075.88

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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.