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Finding the Fourth Proportional to 2,075.12, 3,112.20 and 613.88

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Solution

The fourth proportional to 2,075.12, 3,112.20 and 613.88 is: 920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.12 : 3,112.20 = 613.88 : x
  2. Step 2: Convert to fraction form
    2,075.12/3,112.20 = 613.88/x
  3. Step 3: Cross multiply
    2,075.12x = 3,112.20 × 613.88
  4. Step 4: Simplify right side
    2,075.12x = 1,910,517.34
  5. Step 5: Solve for x
    x = 1,910,517.34/2,075.12
  6. Step 6: Final answer
    x = 920.68

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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.