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Finding the Fourth Proportional to 1,732.74, 2,597.09 and 1,362.98

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Solution

The fourth proportional to 1,732.74, 2,597.09 and 1,362.98 is: 2,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.74 : 2,597.09 = 1,362.98 : x
  2. Step 2: Convert to fraction form
    1,732.74/2,597.09 = 1,362.98/x
  3. Step 3: Cross multiply
    1,732.74x = 2,597.09 × 1,362.98
  4. Step 4: Simplify right side
    1,732.74x = 3,539,761.93
  5. Step 5: Solve for x
    x = 3,539,761.93/1,732.74
  6. Step 6: Final answer
    x = 2,042.87

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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.