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Finding the Fourth Proportional to 1,941.60, 2,912.40 and 643.17

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Solution

The fourth proportional to 1,941.60, 2,912.40 and 643.17 is: 964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.60 : 2,912.40 = 643.17 : x
  2. Step 2: Convert to fraction form
    1,941.60/2,912.40 = 643.17/x
  3. Step 3: Cross multiply
    1,941.60x = 2,912.40 × 643.17
  4. Step 4: Simplify right side
    1,941.60x = 1,873,168.31
  5. Step 5: Solve for x
    x = 1,873,168.31/1,941.60
  6. Step 6: Final answer
    x = 964.76

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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.