Home / 3,202.14-4,803.30-981.02

Finding the Fourth Proportional to 3,202.14, 4,803.30 and 981.02

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Solution

The fourth proportional to 3,202.14, 4,803.30 and 981.02 is: 1,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.14 : 4,803.30 = 981.02 : x
  2. Step 2: Convert to fraction form
    3,202.14/4,803.30 = 981.02/x
  3. Step 3: Cross multiply
    3,202.14x = 4,803.30 × 981.02
  4. Step 4: Simplify right side
    3,202.14x = 4,712,133.37
  5. Step 5: Solve for x
    x = 4,712,133.37/3,202.14
  6. Step 6: Final answer
    x = 1,471.56

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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.