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Finding the Fourth Proportional to 2,793.65, 3,853.09 and 1,898.07

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Solution

The fourth proportional to 2,793.65, 3,853.09 and 1,898.07 is: 2,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.65 : 3,853.09 = 1,898.07 : x
  2. Step 2: Convert to fraction form
    2,793.65/3,853.09 = 1,898.07/x
  3. Step 3: Cross multiply
    2,793.65x = 3,853.09 × 1,898.07
  4. Step 4: Simplify right side
    2,793.65x = 7,313,429.79
  5. Step 5: Solve for x
    x = 7,313,429.79/2,793.65
  6. Step 6: Final answer
    x = 2,617.88

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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.