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Finding the Fourth Proportional to 3,184.97, 4,775.00 and 1,452.38

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Solution

The fourth proportional to 3,184.97, 4,775.00 and 1,452.38 is: 2,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.97 : 4,775.00 = 1,452.38 : x
  2. Step 2: Convert to fraction form
    3,184.97/4,775.00 = 1,452.38/x
  3. Step 3: Cross multiply
    3,184.97x = 4,775.00 × 1,452.38
  4. Step 4: Simplify right side
    3,184.97x = 6,935,083.36
  5. Step 5: Solve for x
    x = 6,935,083.36/3,184.97
  6. Step 6: Final answer
    x = 2,177.44

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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.