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Finding the Fourth Proportional to 2,713.58, 3,747.81 and 1,827.84

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Solution

The fourth proportional to 2,713.58, 3,747.81 and 1,827.84 is: 2,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.58 : 3,747.81 = 1,827.84 : x
  2. Step 2: Convert to fraction form
    2,713.58/3,747.81 = 1,827.84/x
  3. Step 3: Cross multiply
    2,713.58x = 3,747.81 × 1,827.84
  4. Step 4: Simplify right side
    2,713.58x = 6,850,397.03
  5. Step 5: Solve for x
    x = 6,850,397.03/2,713.58
  6. Step 6: Final answer
    x = 2,524.49

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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.