Home / 2,037.80-3,055.61-997.98

Finding the Fourth Proportional to 2,037.80, 3,055.61 and 997.98

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Solution

The fourth proportional to 2,037.80, 3,055.61 and 997.98 is: 1,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.80 : 3,055.61 = 997.98 : x
  2. Step 2: Convert to fraction form
    2,037.80/3,055.61 = 997.98/x
  3. Step 3: Cross multiply
    2,037.80x = 3,055.61 × 997.98
  4. Step 4: Simplify right side
    2,037.80x = 3,049,432.68
  5. Step 5: Solve for x
    x = 3,049,432.68/2,037.80
  6. Step 6: Final answer
    x = 1,496.44

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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.