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Finding the Fourth Proportional to 2,154.15, 3,228.48 and 921.24

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Solution

The fourth proportional to 2,154.15, 3,228.48 and 921.24 is: 1,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.15 : 3,228.48 = 921.24 : x
  2. Step 2: Convert to fraction form
    2,154.15/3,228.48 = 921.24/x
  3. Step 3: Cross multiply
    2,154.15x = 3,228.48 × 921.24
  4. Step 4: Simplify right side
    2,154.15x = 2,974,204.92
  5. Step 5: Solve for x
    x = 2,974,204.92/2,154.15
  6. Step 6: Final answer
    x = 1,380.69

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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.