Home / 2,202.06-3,302.01-814.98

Finding the Fourth Proportional to 2,202.06, 3,302.01 and 814.98

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Solution

The fourth proportional to 2,202.06, 3,302.01 and 814.98 is: 1,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.06 : 3,302.01 = 814.98 : x
  2. Step 2: Convert to fraction form
    2,202.06/3,302.01 = 814.98/x
  3. Step 3: Cross multiply
    2,202.06x = 3,302.01 × 814.98
  4. Step 4: Simplify right side
    2,202.06x = 2,691,072.11
  5. Step 5: Solve for x
    x = 2,691,072.11/2,202.06
  6. Step 6: Final answer
    x = 1,222.07

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1.5x scale

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.