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Finding the Fourth Proportional to 3,075.95, 4,616.31 and 1,227.23

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Solution

The fourth proportional to 3,075.95, 4,616.31 and 1,227.23 is: 1,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.95 : 4,616.31 = 1,227.23 : x
  2. Step 2: Convert to fraction form
    3,075.95/4,616.31 = 1,227.23/x
  3. Step 3: Cross multiply
    3,075.95x = 4,616.31 × 1,227.23
  4. Step 4: Simplify right side
    3,075.95x = 5,665,274.12
  5. Step 5: Solve for x
    x = 5,665,274.12/3,075.95
  6. Step 6: Final answer
    x = 1,841.80

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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.