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Finding the Fourth Proportional to 2,155.37, 3,234.16 and 922.45

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Solution

The fourth proportional to 2,155.37, 3,234.16 and 922.45 is: 1,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.37 : 3,234.16 = 922.45 : x
  2. Step 2: Convert to fraction form
    2,155.37/3,234.16 = 922.45/x
  3. Step 3: Cross multiply
    2,155.37x = 3,234.16 × 922.45
  4. Step 4: Simplify right side
    2,155.37x = 2,983,350.89
  5. Step 5: Solve for x
    x = 2,983,350.89/2,155.37
  6. Step 6: Final answer
    x = 1,384.15

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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.