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Finding the Fourth Proportional to 1,941.32, 2,912.43 and 642.71

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Solution

The fourth proportional to 1,941.32, 2,912.43 and 642.71 is: 964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.32 : 2,912.43 = 642.71 : x
  2. Step 2: Convert to fraction form
    1,941.32/2,912.43 = 642.71/x
  3. Step 3: Cross multiply
    1,941.32x = 2,912.43 × 642.71
  4. Step 4: Simplify right side
    1,941.32x = 1,871,847.89
  5. Step 5: Solve for x
    x = 1,871,847.89/1,941.32
  6. Step 6: Final answer
    x = 964.21

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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.