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Finding the Fourth Proportional to 1,731.40, 2,596.46 and 757

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Solution

The fourth proportional to 1,731.40, 2,596.46 and 757 is: 1,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.40 : 2,596.46 = 757 : x
  2. Step 2: Convert to fraction form
    1,731.40/2,596.46 = 757/x
  3. Step 3: Cross multiply
    1,731.40x = 2,596.46 × 757
  4. Step 4: Simplify right side
    1,731.40x = 1,965,520.22
  5. Step 5: Solve for x
    x = 1,965,520.22/1,731.40
  6. Step 6: Final answer
    x = 1,135.22

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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.