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Finding the Fourth Proportional to 2,049.85, 3,075.68 and 1,075.72

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Solution

The fourth proportional to 2,049.85, 3,075.68 and 1,075.72 is: 1,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.85 : 3,075.68 = 1,075.72 : x
  2. Step 2: Convert to fraction form
    2,049.85/3,075.68 = 1,075.72/x
  3. Step 3: Cross multiply
    2,049.85x = 3,075.68 × 1,075.72
  4. Step 4: Simplify right side
    2,049.85x = 3,308,570.49
  5. Step 5: Solve for x
    x = 3,308,570.49/2,049.85
  6. Step 6: Final answer
    x = 1,614.05

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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.