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Finding the Fourth Proportional to 2,122.37, 3,184.30 and 952.25

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Solution

The fourth proportional to 2,122.37, 3,184.30 and 952.25 is: 1,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.37 : 3,184.30 = 952.25 : x
  2. Step 2: Convert to fraction form
    2,122.37/3,184.30 = 952.25/x
  3. Step 3: Cross multiply
    2,122.37x = 3,184.30 × 952.25
  4. Step 4: Simplify right side
    2,122.37x = 3,032,234.94
  5. Step 5: Solve for x
    x = 3,032,234.94/2,122.37
  6. Step 6: Final answer
    x = 1,428.70

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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.