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Finding the Fourth Proportional to 1,737.75, 2,606.96 and 872.06

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Solution

The fourth proportional to 1,737.75, 2,606.96 and 872.06 is: 1,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.75 : 2,606.96 = 872.06 : x
  2. Step 2: Convert to fraction form
    1,737.75/2,606.96 = 872.06/x
  3. Step 3: Cross multiply
    1,737.75x = 2,606.96 × 872.06
  4. Step 4: Simplify right side
    1,737.75x = 2,273,425.54
  5. Step 5: Solve for x
    x = 2,273,425.54/1,737.75
  6. Step 6: Final answer
    x = 1,308.26

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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.