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Finding the Fourth Proportional to 2,122.78, 3,184.15 and 1,495.49

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Solution

The fourth proportional to 2,122.78, 3,184.15 and 1,495.49 is: 2,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.78 : 3,184.15 = 1,495.49 : x
  2. Step 2: Convert to fraction form
    2,122.78/3,184.15 = 1,495.49/x
  3. Step 3: Cross multiply
    2,122.78x = 3,184.15 × 1,495.49
  4. Step 4: Simplify right side
    2,122.78x = 4,761,857.01
  5. Step 5: Solve for x
    x = 4,761,857.01/2,122.78
  6. Step 6: Final answer
    x = 2,243.22

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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.