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Finding the Fourth Proportional to 2,649.88, 3,975.05 and 1,089.15

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Solution

The fourth proportional to 2,649.88, 3,975.05 and 1,089.15 is: 1,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.88 : 3,975.05 = 1,089.15 : x
  2. Step 2: Convert to fraction form
    2,649.88/3,975.05 = 1,089.15/x
  3. Step 3: Cross multiply
    2,649.88x = 3,975.05 × 1,089.15
  4. Step 4: Simplify right side
    2,649.88x = 4,329,425.71
  5. Step 5: Solve for x
    x = 4,329,425.71/2,649.88
  6. Step 6: Final answer
    x = 1,633.82

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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.