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Finding the Fourth Proportional to 1,439.94, 2,157.88 and 822.72

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Solution

The fourth proportional to 1,439.94, 2,157.88 and 822.72 is: 1,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.94 : 2,157.88 = 822.72 : x
  2. Step 2: Convert to fraction form
    1,439.94/2,157.88 = 822.72/x
  3. Step 3: Cross multiply
    1,439.94x = 2,157.88 × 822.72
  4. Step 4: Simplify right side
    1,439.94x = 1,775,318.19
  5. Step 5: Solve for x
    x = 1,775,318.19/1,439.94
  6. Step 6: Final answer
    x = 1,232.92

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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.