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Finding the Fourth Proportional to 3,266.84, 4,900.67 and 1,075.79

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Solution

The fourth proportional to 3,266.84, 4,900.67 and 1,075.79 is: 1,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.84 : 4,900.67 = 1,075.79 : x
  2. Step 2: Convert to fraction form
    3,266.84/4,900.67 = 1,075.79/x
  3. Step 3: Cross multiply
    3,266.84x = 4,900.67 × 1,075.79
  4. Step 4: Simplify right side
    3,266.84x = 5,272,061.90
  5. Step 5: Solve for x
    x = 5,272,061.90/3,266.84
  6. Step 6: Final answer
    x = 1,613.81

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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.