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Finding the Fourth Proportional to 2,467.68, 3,402.08 and 2,046.48

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Solution

The fourth proportional to 2,467.68, 3,402.08 and 2,046.48 is: 2,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.68 : 3,402.08 = 2,046.48 : x
  2. Step 2: Convert to fraction form
    2,467.68/3,402.08 = 2,046.48/x
  3. Step 3: Cross multiply
    2,467.68x = 3,402.08 × 2,046.48
  4. Step 4: Simplify right side
    2,467.68x = 6,962,288.68
  5. Step 5: Solve for x
    x = 6,962,288.68/2,467.68
  6. Step 6: Final answer
    x = 2,821.39

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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.