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Finding the Fourth Proportional to 2,886.82, 4,326.15 and 2,234.50

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Solution

The fourth proportional to 2,886.82, 4,326.15 and 2,234.50 is: 3,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.82 : 4,326.15 = 2,234.50 : x
  2. Step 2: Convert to fraction form
    2,886.82/4,326.15 = 2,234.50/x
  3. Step 3: Cross multiply
    2,886.82x = 4,326.15 × 2,234.50
  4. Step 4: Simplify right side
    2,886.82x = 9,666,782.18
  5. Step 5: Solve for x
    x = 9,666,782.18/2,886.82
  6. Step 6: Final answer
    x = 3,348.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.