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Finding the Fourth Proportional to 2,612.39, 3,918.14 and 738.41

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Solution

The fourth proportional to 2,612.39, 3,918.14 and 738.41 is: 1,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.39 : 3,918.14 = 738.41 : x
  2. Step 2: Convert to fraction form
    2,612.39/3,918.14 = 738.41/x
  3. Step 3: Cross multiply
    2,612.39x = 3,918.14 × 738.41
  4. Step 4: Simplify right side
    2,612.39x = 2,893,193.76
  5. Step 5: Solve for x
    x = 2,893,193.76/2,612.39
  6. Step 6: Final answer
    x = 1,107.49

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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.