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Finding the Fourth Proportional to 2,361.81, 3,542.87 and 718.48

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Solution

The fourth proportional to 2,361.81, 3,542.87 and 718.48 is: 1,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.81 : 3,542.87 = 718.48 : x
  2. Step 2: Convert to fraction form
    2,361.81/3,542.87 = 718.48/x
  3. Step 3: Cross multiply
    2,361.81x = 3,542.87 × 718.48
  4. Step 4: Simplify right side
    2,361.81x = 2,545,481.24
  5. Step 5: Solve for x
    x = 2,545,481.24/2,361.81
  6. Step 6: Final answer
    x = 1,077.77

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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.