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Finding the Fourth Proportional to 1,711.31, 2,361.63 and 965.31

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Solution

The fourth proportional to 1,711.31, 2,361.63 and 965.31 is: 1,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.31 : 2,361.63 = 965.31 : x
  2. Step 2: Convert to fraction form
    1,711.31/2,361.63 = 965.31/x
  3. Step 3: Cross multiply
    1,711.31x = 2,361.63 × 965.31
  4. Step 4: Simplify right side
    1,711.31x = 2,279,705.06
  5. Step 5: Solve for x
    x = 2,279,705.06/1,711.31
  6. Step 6: Final answer
    x = 1,332.14

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Why These Related Problems?

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