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Finding the Fourth Proportional to 2,155.28, 3,233.25 and 922.70

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Solution

The fourth proportional to 2,155.28, 3,233.25 and 922.70 is: 1,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.28 : 3,233.25 = 922.70 : x
  2. Step 2: Convert to fraction form
    2,155.28/3,233.25 = 922.70/x
  3. Step 3: Cross multiply
    2,155.28x = 3,233.25 × 922.70
  4. Step 4: Simplify right side
    2,155.28x = 2,983,303.61
  5. Step 5: Solve for x
    x = 2,983,303.61/2,155.28
  6. Step 6: Final answer
    x = 1,384.19

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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.