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Finding the Fourth Proportional to 2,947.86, 4,063.77 and 2,060.91

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Solution

The fourth proportional to 2,947.86, 4,063.77 and 2,060.91 is: 2,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.86 : 4,063.77 = 2,060.91 : x
  2. Step 2: Convert to fraction form
    2,947.86/4,063.77 = 2,060.91/x
  3. Step 3: Cross multiply
    2,947.86x = 4,063.77 × 2,060.91
  4. Step 4: Simplify right side
    2,947.86x = 8,375,064.23
  5. Step 5: Solve for x
    x = 8,375,064.23/2,947.86
  6. Step 6: Final answer
    x = 2,841.07

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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.