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Finding the Fourth Proportional to 2,017.97, 3,026.96 and 557.24

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Solution

The fourth proportional to 2,017.97, 3,026.96 and 557.24 is: 835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.97 : 3,026.96 = 557.24 : x
  2. Step 2: Convert to fraction form
    2,017.97/3,026.96 = 557.24/x
  3. Step 3: Cross multiply
    2,017.97x = 3,026.96 × 557.24
  4. Step 4: Simplify right side
    2,017.97x = 1,686,725.27
  5. Step 5: Solve for x
    x = 1,686,725.27/2,017.97
  6. Step 6: Final answer
    x = 835.85

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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.