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Finding the Fourth Proportional to 1,941.08, 2,912.10 and 642.56

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Solution

The fourth proportional to 1,941.08, 2,912.10 and 642.56 is: 964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.08 : 2,912.10 = 642.56 : x
  2. Step 2: Convert to fraction form
    1,941.08/2,912.10 = 642.56/x
  3. Step 3: Cross multiply
    1,941.08x = 2,912.10 × 642.56
  4. Step 4: Simplify right side
    1,941.08x = 1,871,198.98
  5. Step 5: Solve for x
    x = 1,871,198.98/1,941.08
  6. Step 6: Final answer
    x = 964.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.