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Finding the Fourth Proportional to 2,154.37, 3,232.66 and 921.45

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Solution

The fourth proportional to 2,154.37, 3,232.66 and 921.45 is: 1,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.37 : 3,232.66 = 921.45 : x
  2. Step 2: Convert to fraction form
    2,154.37/3,232.66 = 921.45/x
  3. Step 3: Cross multiply
    2,154.37x = 3,232.66 × 921.45
  4. Step 4: Simplify right side
    2,154.37x = 2,978,737.01
  5. Step 5: Solve for x
    x = 2,978,737.01/2,154.37
  6. Step 6: Final answer
    x = 1,382.65

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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.