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Finding the Fourth Proportional to 1,727.78, 2,591.01 and 557.48

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Solution

The fourth proportional to 1,727.78, 2,591.01 and 557.48 is: 836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.78 : 2,591.01 = 557.48 : x
  2. Step 2: Convert to fraction form
    1,727.78/2,591.01 = 557.48/x
  3. Step 3: Cross multiply
    1,727.78x = 2,591.01 × 557.48
  4. Step 4: Simplify right side
    1,727.78x = 1,444,442.73
  5. Step 5: Solve for x
    x = 1,444,442.73/1,727.78
  6. Step 6: Final answer
    x = 836.01

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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.