Home / 3,102.30-4,654.14-1,022.22

Finding the Fourth Proportional to 3,102.30, 4,654.14 and 1,022.22

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Solution

The fourth proportional to 3,102.30, 4,654.14 and 1,022.22 is: 1,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.30 : 4,654.14 = 1,022.22 : x
  2. Step 2: Convert to fraction form
    3,102.30/4,654.14 = 1,022.22/x
  3. Step 3: Cross multiply
    3,102.30x = 4,654.14 × 1,022.22
  4. Step 4: Simplify right side
    3,102.30x = 4,757,566.63
  5. Step 5: Solve for x
    x = 4,757,566.63/3,102.30
  6. Step 6: Final answer
    x = 1,533.56

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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.