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Finding the Fourth Proportional to 1,736.98, 2,601.27 and 1,217.50

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Solution

The fourth proportional to 1,736.98, 2,601.27 and 1,217.50 is: 1,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.98 : 2,601.27 = 1,217.50 : x
  2. Step 2: Convert to fraction form
    1,736.98/2,601.27 = 1,217.50/x
  3. Step 3: Cross multiply
    1,736.98x = 2,601.27 × 1,217.50
  4. Step 4: Simplify right side
    1,736.98x = 3,167,046.23
  5. Step 5: Solve for x
    x = 3,167,046.23/1,736.98
  6. Step 6: Final answer
    x = 1,823.31

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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.