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Finding the Fourth Proportional to 3,075.44, 4,613.84 and 884

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Solution

The fourth proportional to 3,075.44, 4,613.84 and 884 is: 1,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.44 : 4,613.84 = 884 : x
  2. Step 2: Convert to fraction form
    3,075.44/4,613.84 = 884/x
  3. Step 3: Cross multiply
    3,075.44x = 4,613.84 × 884
  4. Step 4: Simplify right side
    3,075.44x = 4,078,634.56
  5. Step 5: Solve for x
    x = 4,078,634.56/3,075.44
  6. Step 6: Final answer
    x = 1,326.20

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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.