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Finding the Fourth Proportional to 3,005.33, 4,507.99 and 814.06

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Solution

The fourth proportional to 3,005.33, 4,507.99 and 814.06 is: 1,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.33 : 4,507.99 = 814.06 : x
  2. Step 2: Convert to fraction form
    3,005.33/4,507.99 = 814.06/x
  3. Step 3: Cross multiply
    3,005.33x = 4,507.99 × 814.06
  4. Step 4: Simplify right side
    3,005.33x = 3,669,774.34
  5. Step 5: Solve for x
    x = 3,669,774.34/3,005.33
  6. Step 6: Final answer
    x = 1,221.09

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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.