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Finding the Fourth Proportional to 2,302.00, 3,454.82 and 1,004.38

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Solution

The fourth proportional to 2,302.00, 3,454.82 and 1,004.38 is: 1,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.00 : 3,454.82 = 1,004.38 : x
  2. Step 2: Convert to fraction form
    2,302.00/3,454.82 = 1,004.38/x
  3. Step 3: Cross multiply
    2,302.00x = 3,454.82 × 1,004.38
  4. Step 4: Simplify right side
    2,302.00x = 3,469,929.82
  5. Step 5: Solve for x
    x = 3,469,929.82/2,302.00
  6. Step 6: Final answer
    x = 1,507.36

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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.