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Finding the Fourth Proportional to 2,043.88, 3,065.82 and 745.48

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Solution

The fourth proportional to 2,043.88, 3,065.82 and 745.48 is: 1,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.88 : 3,065.82 = 745.48 : x
  2. Step 2: Convert to fraction form
    2,043.88/3,065.82 = 745.48/x
  3. Step 3: Cross multiply
    2,043.88x = 3,065.82 × 745.48
  4. Step 4: Simplify right side
    2,043.88x = 2,285,507.49
  5. Step 5: Solve for x
    x = 2,285,507.49/2,043.88
  6. Step 6: Final answer
    x = 1,118.22

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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.