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Finding the Fourth Proportional to 2,049.84, 3,075.11 and 644.35

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Solution

The fourth proportional to 2,049.84, 3,075.11 and 644.35 is: 966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.84 : 3,075.11 = 644.35 : x
  2. Step 2: Convert to fraction form
    2,049.84/3,075.11 = 644.35/x
  3. Step 3: Cross multiply
    2,049.84x = 3,075.11 × 644.35
  4. Step 4: Simplify right side
    2,049.84x = 1,981,436.22
  5. Step 5: Solve for x
    x = 1,981,436.22/2,049.84
  6. Step 6: Final answer
    x = 966.63

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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.