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Finding the Fourth Proportional to 2,649.82, 3,973.36 and 1,089.54

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Solution

The fourth proportional to 2,649.82, 3,973.36 and 1,089.54 is: 1,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.82 : 3,973.36 = 1,089.54 : x
  2. Step 2: Convert to fraction form
    2,649.82/3,973.36 = 1,089.54/x
  3. Step 3: Cross multiply
    2,649.82x = 3,973.36 × 1,089.54
  4. Step 4: Simplify right side
    2,649.82x = 4,329,134.65
  5. Step 5: Solve for x
    x = 4,329,134.65/2,649.82
  6. Step 6: Final answer
    x = 1,633.75

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