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Finding the Fourth Proportional to 2,467.39, 3,700.96 and 618.39

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Solution

The fourth proportional to 2,467.39, 3,700.96 and 618.39 is: 927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.39 : 3,700.96 = 618.39 : x
  2. Step 2: Convert to fraction form
    2,467.39/3,700.96 = 618.39/x
  3. Step 3: Cross multiply
    2,467.39x = 3,700.96 × 618.39
  4. Step 4: Simplify right side
    2,467.39x = 2,288,636.65
  5. Step 5: Solve for x
    x = 2,288,636.65/2,467.39
  6. Step 6: Final answer
    x = 927.55

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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.