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Finding the Fourth Proportional to 1,744.14, 2,616.53 and 574.21

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Solution

The fourth proportional to 1,744.14, 2,616.53 and 574.21 is: 861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.14 : 2,616.53 = 574.21 : x
  2. Step 2: Convert to fraction form
    1,744.14/2,616.53 = 574.21/x
  3. Step 3: Cross multiply
    1,744.14x = 2,616.53 × 574.21
  4. Step 4: Simplify right side
    1,744.14x = 1,502,428.28
  5. Step 5: Solve for x
    x = 1,502,428.28/1,744.14
  6. Step 6: Final answer
    x = 861.41

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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.