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Finding the Fourth Proportional to 2,668.78, 4,002.36 and 937

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Solution

The fourth proportional to 2,668.78, 4,002.36 and 937 is: 1,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.78 : 4,002.36 = 937 : x
  2. Step 2: Convert to fraction form
    2,668.78/4,002.36 = 937/x
  3. Step 3: Cross multiply
    2,668.78x = 4,002.36 × 937
  4. Step 4: Simplify right side
    2,668.78x = 3,750,211.32
  5. Step 5: Solve for x
    x = 3,750,211.32/2,668.78
  6. Step 6: Final answer
    x = 1,405.22

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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.