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Finding the Fourth Proportional to 2,174.16, 2,997.06 and 1,334.22

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Solution

The fourth proportional to 2,174.16, 2,997.06 and 1,334.22 is: 1,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.16 : 2,997.06 = 1,334.22 : x
  2. Step 2: Convert to fraction form
    2,174.16/2,997.06 = 1,334.22/x
  3. Step 3: Cross multiply
    2,174.16x = 2,997.06 × 1,334.22
  4. Step 4: Simplify right side
    2,174.16x = 3,998,737.39
  5. Step 5: Solve for x
    x = 3,998,737.39/2,174.16
  6. Step 6: Final answer
    x = 1,839.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.