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Finding the Fourth Proportional to 1,847.91, 2,751.75 and 1,827.46

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Solution

The fourth proportional to 1,847.91, 2,751.75 and 1,827.46 is: 2,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.91 : 2,751.75 = 1,827.46 : x
  2. Step 2: Convert to fraction form
    1,847.91/2,751.75 = 1,827.46/x
  3. Step 3: Cross multiply
    1,847.91x = 2,751.75 × 1,827.46
  4. Step 4: Simplify right side
    1,847.91x = 5,028,711.35
  5. Step 5: Solve for x
    x = 5,028,711.35/1,847.91
  6. Step 6: Final answer
    x = 2,721.29

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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.