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Finding the Fourth Proportional to 1,941.71, 2,911.67 and 625.22

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Solution

The fourth proportional to 1,941.71, 2,911.67 and 625.22 is: 937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.71 : 2,911.67 = 625.22 : x
  2. Step 2: Convert to fraction form
    1,941.71/2,911.67 = 625.22/x
  3. Step 3: Cross multiply
    1,941.71x = 2,911.67 × 625.22
  4. Step 4: Simplify right side
    1,941.71x = 1,820,434.32
  5. Step 5: Solve for x
    x = 1,820,434.32/1,941.71
  6. Step 6: Final answer
    x = 937.54

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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.