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Finding the Fourth Proportional to 2,934.63, 4,046.63 and 2,227.77

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Solution

The fourth proportional to 2,934.63, 4,046.63 and 2,227.77 is: 3,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.63 : 4,046.63 = 2,227.77 : x
  2. Step 2: Convert to fraction form
    2,934.63/4,046.63 = 2,227.77/x
  3. Step 3: Cross multiply
    2,934.63x = 4,046.63 × 2,227.77
  4. Step 4: Simplify right side
    2,934.63x = 9,014,949.78
  5. Step 5: Solve for x
    x = 9,014,949.78/2,934.63
  6. Step 6: Final answer
    x = 3,071.92

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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.