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Finding the Fourth Proportional to 2,363.07, 3,540.56 and 1,668.50

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Solution

The fourth proportional to 2,363.07, 3,540.56 and 1,668.50 is: 2,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.07 : 3,540.56 = 1,668.50 : x
  2. Step 2: Convert to fraction form
    2,363.07/3,540.56 = 1,668.50/x
  3. Step 3: Cross multiply
    2,363.07x = 3,540.56 × 1,668.50
  4. Step 4: Simplify right side
    2,363.07x = 5,907,398.31
  5. Step 5: Solve for x
    x = 5,907,398.31/2,363.07
  6. Step 6: Final answer
    x = 2,499.88

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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.