Home / 2,037.20-3,055.80-997.70

Finding the Fourth Proportional to 2,037.20, 3,055.80 and 997.70

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Solution

The fourth proportional to 2,037.20, 3,055.80 and 997.70 is: 1,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.20 : 3,055.80 = 997.70 : x
  2. Step 2: Convert to fraction form
    2,037.20/3,055.80 = 997.70/x
  3. Step 3: Cross multiply
    2,037.20x = 3,055.80 × 997.70
  4. Step 4: Simplify right side
    2,037.20x = 3,048,771.66
  5. Step 5: Solve for x
    x = 3,048,771.66/2,037.20
  6. Step 6: Final answer
    x = 1,496.55

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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.