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Finding the Fourth Proportional to 2,818.95, 4,204.49 and 2,769.74

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Solution

The fourth proportional to 2,818.95, 4,204.49 and 2,769.74 is: 4,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.95 : 4,204.49 = 2,769.74 : x
  2. Step 2: Convert to fraction form
    2,818.95/4,204.49 = 2,769.74/x
  3. Step 3: Cross multiply
    2,818.95x = 4,204.49 × 2,769.74
  4. Step 4: Simplify right side
    2,818.95x = 11,645,344.13
  5. Step 5: Solve for x
    x = 11,645,344.13/2,818.95
  6. Step 6: Final answer
    x = 4,131.09

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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.