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Finding the Fourth Proportional to 2,757.84, 4,136.78 and 1,026.46

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Solution

The fourth proportional to 2,757.84, 4,136.78 and 1,026.46 is: 1,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.84 : 4,136.78 = 1,026.46 : x
  2. Step 2: Convert to fraction form
    2,757.84/4,136.78 = 1,026.46/x
  3. Step 3: Cross multiply
    2,757.84x = 4,136.78 × 1,026.46
  4. Step 4: Simplify right side
    2,757.84x = 4,246,239.20
  5. Step 5: Solve for x
    x = 4,246,239.20/2,757.84
  6. Step 6: Final answer
    x = 1,539.70

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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.