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Finding the Fourth Proportional to 3,075.62, 4,613.49 and 1,227.60

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Solution

The fourth proportional to 3,075.62, 4,613.49 and 1,227.60 is: 1,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.62 : 4,613.49 = 1,227.60 : x
  2. Step 2: Convert to fraction form
    3,075.62/4,613.49 = 1,227.60/x
  3. Step 3: Cross multiply
    3,075.62x = 4,613.49 × 1,227.60
  4. Step 4: Simplify right side
    3,075.62x = 5,663,520.32
  5. Step 5: Solve for x
    x = 5,663,520.32/3,075.62
  6. Step 6: Final answer
    x = 1,841.43

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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.