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Finding the Fourth Proportional to 2,072.88, 2,872.88 and 2,034

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Solution

The fourth proportional to 2,072.88, 2,872.88 and 2,034 is: 2,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.88 : 2,872.88 = 2,034 : x
  2. Step 2: Convert to fraction form
    2,072.88/2,872.88 = 2,034/x
  3. Step 3: Cross multiply
    2,072.88x = 2,872.88 × 2,034
  4. Step 4: Simplify right side
    2,072.88x = 5,843,437.92
  5. Step 5: Solve for x
    x = 5,843,437.92/2,072.88
  6. Step 6: Final answer
    x = 2,818.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.