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Finding the Fourth Proportional to 2,153.70, 3,228.46 and 921.42

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Solution

The fourth proportional to 2,153.70, 3,228.46 and 921.42 is: 1,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.70 : 3,228.46 = 921.42 : x
  2. Step 2: Convert to fraction form
    2,153.70/3,228.46 = 921.42/x
  3. Step 3: Cross multiply
    2,153.70x = 3,228.46 × 921.42
  4. Step 4: Simplify right side
    2,153.70x = 2,974,765.31
  5. Step 5: Solve for x
    x = 2,974,765.31/2,153.70
  6. Step 6: Final answer
    x = 1,381.23

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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.