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Finding the Fourth Proportional to 3,075.87, 4,244.00 and 2,082.99

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Solution

The fourth proportional to 3,075.87, 4,244.00 and 2,082.99 is: 2,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.87 : 4,244.00 = 2,082.99 : x
  2. Step 2: Convert to fraction form
    3,075.87/4,244.00 = 2,082.99/x
  3. Step 3: Cross multiply
    3,075.87x = 4,244.00 × 2,082.99
  4. Step 4: Simplify right side
    3,075.87x = 8,840,199.15
  5. Step 5: Solve for x
    x = 8,840,199.15/3,075.87
  6. Step 6: Final answer
    x = 2,874.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.