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Finding the Fourth Proportional to 2,447.52, 3,668.84 and 987.49

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Solution

The fourth proportional to 2,447.52, 3,668.84 and 987.49 is: 1,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.52 : 3,668.84 = 987.49 : x
  2. Step 2: Convert to fraction form
    2,447.52/3,668.84 = 987.49/x
  3. Step 3: Cross multiply
    2,447.52x = 3,668.84 × 987.49
  4. Step 4: Simplify right side
    2,447.52x = 3,622,942.81
  5. Step 5: Solve for x
    x = 3,622,942.81/2,447.52
  6. Step 6: Final answer
    x = 1,480.25

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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.