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Finding the Fourth Proportional to 2,982.84, 4,444.29 and 2,815.17

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Solution

The fourth proportional to 2,982.84, 4,444.29 and 2,815.17 is: 4,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.84 : 4,444.29 = 2,815.17 : x
  2. Step 2: Convert to fraction form
    2,982.84/4,444.29 = 2,815.17/x
  3. Step 3: Cross multiply
    2,982.84x = 4,444.29 × 2,815.17
  4. Step 4: Simplify right side
    2,982.84x = 12,511,436.25
  5. Step 5: Solve for x
    x = 12,511,436.25/2,982.84
  6. Step 6: Final answer
    x = 4,194.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.