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Finding the Fourth Proportional to 1,711.01, 2,361.19 and 964.97

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Solution

The fourth proportional to 1,711.01, 2,361.19 and 964.97 is: 1,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.01 : 2,361.19 = 964.97 : x
  2. Step 2: Convert to fraction form
    1,711.01/2,361.19 = 964.97/x
  3. Step 3: Cross multiply
    1,711.01x = 2,361.19 × 964.97
  4. Step 4: Simplify right side
    1,711.01x = 2,278,473.35
  5. Step 5: Solve for x
    x = 2,278,473.35/1,711.01
  6. Step 6: Final answer
    x = 1,331.65

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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.