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Finding the Fourth Proportional to 3,208.61, 4,425.72 and 2,414

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Solution

The fourth proportional to 3,208.61, 4,425.72 and 2,414 is: 3,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.61 : 4,425.72 = 2,414 : x
  2. Step 2: Convert to fraction form
    3,208.61/4,425.72 = 2,414/x
  3. Step 3: Cross multiply
    3,208.61x = 4,425.72 × 2,414
  4. Step 4: Simplify right side
    3,208.61x = 10,683,688.08
  5. Step 5: Solve for x
    x = 10,683,688.08/3,208.61
  6. Step 6: Final answer
    x = 3,329.69

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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.