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Finding the Fourth Proportional to 2,668.32, 3,678.10 and 2,453.76

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Solution

The fourth proportional to 2,668.32, 3,678.10 and 2,453.76 is: 3,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.32 : 3,678.10 = 2,453.76 : x
  2. Step 2: Convert to fraction form
    2,668.32/3,678.10 = 2,453.76/x
  3. Step 3: Cross multiply
    2,668.32x = 3,678.10 × 2,453.76
  4. Step 4: Simplify right side
    2,668.32x = 9,025,174.66
  5. Step 5: Solve for x
    x = 9,025,174.66/2,668.32
  6. Step 6: Final answer
    x = 3,382.34

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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.