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Finding the Fourth Proportional to 2,049.90, 3,075.30 and 663.30

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Solution

The fourth proportional to 2,049.90, 3,075.30 and 663.30 is: 995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.90 : 3,075.30 = 663.30 : x
  2. Step 2: Convert to fraction form
    2,049.90/3,075.30 = 663.30/x
  3. Step 3: Cross multiply
    2,049.90x = 3,075.30 × 663.30
  4. Step 4: Simplify right side
    2,049.90x = 2,039,846.49
  5. Step 5: Solve for x
    x = 2,039,846.49/2,049.90
  6. Step 6: Final answer
    x = 995.10

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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.