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Finding the Fourth Proportional to 2,153.48, 3,229.79 and 921.02

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Solution

The fourth proportional to 2,153.48, 3,229.79 and 921.02 is: 1,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.48 : 3,229.79 = 921.02 : x
  2. Step 2: Convert to fraction form
    2,153.48/3,229.79 = 921.02/x
  3. Step 3: Cross multiply
    2,153.48x = 3,229.79 × 921.02
  4. Step 4: Simplify right side
    2,153.48x = 2,974,680.43
  5. Step 5: Solve for x
    x = 2,974,680.43/2,153.48
  6. Step 6: Final answer
    x = 1,381.34

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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.