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Finding the Fourth Proportional to 1,941.65, 2,912.19 and 625.23

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Solution

The fourth proportional to 1,941.65, 2,912.19 and 625.23 is: 937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.65 : 2,912.19 = 625.23 : x
  2. Step 2: Convert to fraction form
    1,941.65/2,912.19 = 625.23/x
  3. Step 3: Cross multiply
    1,941.65x = 2,912.19 × 625.23
  4. Step 4: Simplify right side
    1,941.65x = 1,820,788.55
  5. Step 5: Solve for x
    x = 1,820,788.55/1,941.65
  6. Step 6: Final answer
    x = 937.75

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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.