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Finding the Fourth Proportional to 2,361.71, 3,543.48 and 718.43

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Solution

The fourth proportional to 2,361.71, 3,543.48 and 718.43 is: 1,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.71 : 3,543.48 = 718.43 : x
  2. Step 2: Convert to fraction form
    2,361.71/3,543.48 = 718.43/x
  3. Step 3: Cross multiply
    2,361.71x = 3,543.48 × 718.43
  4. Step 4: Simplify right side
    2,361.71x = 2,545,724.62
  5. Step 5: Solve for x
    x = 2,545,724.62/2,361.71
  6. Step 6: Final answer
    x = 1,077.92

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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.