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Finding the Fourth Proportional to 2,153.49, 3,227.60 and 919.46

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Solution

The fourth proportional to 2,153.49, 3,227.60 and 919.46 is: 1,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.49 : 3,227.60 = 919.46 : x
  2. Step 2: Convert to fraction form
    2,153.49/3,227.60 = 919.46/x
  3. Step 3: Cross multiply
    2,153.49x = 3,227.60 × 919.46
  4. Step 4: Simplify right side
    2,153.49x = 2,967,649.10
  5. Step 5: Solve for x
    x = 2,967,649.10/2,153.49
  6. Step 6: Final answer
    x = 1,378.06

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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.