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Finding the Fourth Proportional to 2,049.80, 3,075.18 and 663.24

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Solution

The fourth proportional to 2,049.80, 3,075.18 and 663.24 is: 995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.80 : 3,075.18 = 663.24 : x
  2. Step 2: Convert to fraction form
    2,049.80/3,075.18 = 663.24/x
  3. Step 3: Cross multiply
    2,049.80x = 3,075.18 × 663.24
  4. Step 4: Simplify right side
    2,049.80x = 2,039,582.38
  5. Step 5: Solve for x
    x = 2,039,582.38/2,049.80
  6. Step 6: Final answer
    x = 995.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.