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Finding the Fourth Proportional to 1,731.84, 2,592.78 and 1,622.82

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Solution

The fourth proportional to 1,731.84, 2,592.78 and 1,622.82 is: 2,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.84 : 2,592.78 = 1,622.82 : x
  2. Step 2: Convert to fraction form
    1,731.84/2,592.78 = 1,622.82/x
  3. Step 3: Cross multiply
    1,731.84x = 2,592.78 × 1,622.82
  4. Step 4: Simplify right side
    1,731.84x = 4,207,615.24
  5. Step 5: Solve for x
    x = 4,207,615.24/1,731.84
  6. Step 6: Final answer
    x = 2,429.56

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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.