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Finding the Fourth Proportional to 2,703.12, 4,044.41 and 1,649.22

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Solution

The fourth proportional to 2,703.12, 4,044.41 and 1,649.22 is: 2,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.12 : 4,044.41 = 1,649.22 : x
  2. Step 2: Convert to fraction form
    2,703.12/4,044.41 = 1,649.22/x
  3. Step 3: Cross multiply
    2,703.12x = 4,044.41 × 1,649.22
  4. Step 4: Simplify right side
    2,703.12x = 6,670,121.67
  5. Step 5: Solve for x
    x = 6,670,121.67/2,703.12
  6. Step 6: Final answer
    x = 2,467.56

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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.