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Finding the Fourth Proportional to 2,668.12, 3,975.49 and 2,377.12

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Solution

The fourth proportional to 2,668.12, 3,975.49 and 2,377.12 is: 3,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.12 : 3,975.49 = 2,377.12 : x
  2. Step 2: Convert to fraction form
    2,668.12/3,975.49 = 2,377.12/x
  3. Step 3: Cross multiply
    2,668.12x = 3,975.49 × 2,377.12
  4. Step 4: Simplify right side
    2,668.12x = 9,450,216.79
  5. Step 5: Solve for x
    x = 9,450,216.79/2,668.12
  6. Step 6: Final answer
    x = 3,541.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.