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Finding the Fourth Proportional to 3,214.61, 4,433.19 and 2,468.60

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Solution

The fourth proportional to 3,214.61, 4,433.19 and 2,468.60 is: 3,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.61 : 4,433.19 = 2,468.60 : x
  2. Step 2: Convert to fraction form
    3,214.61/4,433.19 = 2,468.60/x
  3. Step 3: Cross multiply
    3,214.61x = 4,433.19 × 2,468.60
  4. Step 4: Simplify right side
    3,214.61x = 10,943,772.83
  5. Step 5: Solve for x
    x = 10,943,772.83/3,214.61
  6. Step 6: Final answer
    x = 3,404.39

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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.