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Finding the Fourth Proportional to 2,650.74, 3,972.84 and 1,089.77

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Solution

The fourth proportional to 2,650.74, 3,972.84 and 1,089.77 is: 1,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.74 : 3,972.84 = 1,089.77 : x
  2. Step 2: Convert to fraction form
    2,650.74/3,972.84 = 1,089.77/x
  3. Step 3: Cross multiply
    2,650.74x = 3,972.84 × 1,089.77
  4. Step 4: Simplify right side
    2,650.74x = 4,329,461.98
  5. Step 5: Solve for x
    x = 4,329,461.98/2,650.74
  6. Step 6: Final answer
    x = 1,633.31

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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.