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Finding the Fourth Proportional to 1,741.86, 2,611.73 and 686.41

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Solution

The fourth proportional to 1,741.86, 2,611.73 and 686.41 is: 1,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.86 : 2,611.73 = 686.41 : x
  2. Step 2: Convert to fraction form
    1,741.86/2,611.73 = 686.41/x
  3. Step 3: Cross multiply
    1,741.86x = 2,611.73 × 686.41
  4. Step 4: Simplify right side
    1,741.86x = 1,792,717.59
  5. Step 5: Solve for x
    x = 1,792,717.59/1,741.86
  6. Step 6: Final answer
    x = 1,029.20

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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.