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Finding the Fourth Proportional to 2,747.52, 4,118.04 and 1,759.05

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Solution

The fourth proportional to 2,747.52, 4,118.04 and 1,759.05 is: 2,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.52 : 4,118.04 = 1,759.05 : x
  2. Step 2: Convert to fraction form
    2,747.52/4,118.04 = 1,759.05/x
  3. Step 3: Cross multiply
    2,747.52x = 4,118.04 × 1,759.05
  4. Step 4: Simplify right side
    2,747.52x = 7,243,838.26
  5. Step 5: Solve for x
    x = 7,243,838.26/2,747.52
  6. Step 6: Final answer
    x = 2,636.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.