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Finding the Fourth Proportional to 2,693.20, 3,717.62 and 1,574.49

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Solution

The fourth proportional to 2,693.20, 3,717.62 and 1,574.49 is: 2,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.20 : 3,717.62 = 1,574.49 : x
  2. Step 2: Convert to fraction form
    2,693.20/3,717.62 = 1,574.49/x
  3. Step 3: Cross multiply
    2,693.20x = 3,717.62 × 1,574.49
  4. Step 4: Simplify right side
    2,693.20x = 5,853,367.49
  5. Step 5: Solve for x
    x = 5,853,367.49/2,693.20
  6. Step 6: Final answer
    x = 2,173.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.