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Finding the Fourth Proportional to 2,361.71, 3,542.33 and 718.27

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Solution

The fourth proportional to 2,361.71, 3,542.33 and 718.27 is: 1,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.71 : 3,542.33 = 718.27 : x
  2. Step 2: Convert to fraction form
    2,361.71/3,542.33 = 718.27/x
  3. Step 3: Cross multiply
    2,361.71x = 3,542.33 × 718.27
  4. Step 4: Simplify right side
    2,361.71x = 2,544,342.31
  5. Step 5: Solve for x
    x = 2,544,342.31/2,361.71
  6. Step 6: Final answer
    x = 1,077.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.