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Finding the Fourth Proportional to 3,075.97, 4,611.72 and 1,226.53

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Solution

The fourth proportional to 3,075.97, 4,611.72 and 1,226.53 is: 1,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.97 : 4,611.72 = 1,226.53 : x
  2. Step 2: Convert to fraction form
    3,075.97/4,611.72 = 1,226.53/x
  3. Step 3: Cross multiply
    3,075.97x = 4,611.72 × 1,226.53
  4. Step 4: Simplify right side
    3,075.97x = 5,656,412.93
  5. Step 5: Solve for x
    x = 5,656,412.93/3,075.97
  6. Step 6: Final answer
    x = 1,838.90

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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.