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Finding the Fourth Proportional to 2,075.09, 3,111.82 and 613.85

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Solution

The fourth proportional to 2,075.09, 3,111.82 and 613.85 is: 920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.09 : 3,111.82 = 613.85 : x
  2. Step 2: Convert to fraction form
    2,075.09/3,111.82 = 613.85/x
  3. Step 3: Cross multiply
    2,075.09x = 3,111.82 × 613.85
  4. Step 4: Simplify right side
    2,075.09x = 1,910,173.61
  5. Step 5: Solve for x
    x = 1,910,173.61/2,075.09
  6. Step 6: Final answer
    x = 920.53

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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.