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Finding the Fourth Proportional to 2,959.67, 4,084.17 and 1,633.34

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Solution

The fourth proportional to 2,959.67, 4,084.17 and 1,633.34 is: 2,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.67 : 4,084.17 = 1,633.34 : x
  2. Step 2: Convert to fraction form
    2,959.67/4,084.17 = 1,633.34/x
  3. Step 3: Cross multiply
    2,959.67x = 4,084.17 × 1,633.34
  4. Step 4: Simplify right side
    2,959.67x = 6,670,838.23
  5. Step 5: Solve for x
    x = 6,670,838.23/2,959.67
  6. Step 6: Final answer
    x = 2,253.91

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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.