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Finding the Fourth Proportional to 1,711.36, 2,361.51 and 965.23

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Solution

The fourth proportional to 1,711.36, 2,361.51 and 965.23 is: 1,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.36 : 2,361.51 = 965.23 : x
  2. Step 2: Convert to fraction form
    1,711.36/2,361.51 = 965.23/x
  3. Step 3: Cross multiply
    1,711.36x = 2,361.51 × 965.23
  4. Step 4: Simplify right side
    1,711.36x = 2,279,400.30
  5. Step 5: Solve for x
    x = 2,279,400.30/1,711.36
  6. Step 6: Final answer
    x = 1,331.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.