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Finding the Fourth Proportional to 1,731, 2,596.56 and 576.84

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Solution

The fourth proportional to 1,731, 2,596.56 and 576.84 is: 865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731 : 2,596.56 = 576.84 : x
  2. Step 2: Convert to fraction form
    1,731/2,596.56 = 576.84/x
  3. Step 3: Cross multiply
    1,731x = 2,596.56 × 576.84
  4. Step 4: Simplify right side
    1,731x = 1,497,799.67
  5. Step 5: Solve for x
    x = 1,497,799.67/1,731
  6. Step 6: Final answer
    x = 865.28

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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.