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Finding the Fourth Proportional to 2,134.57, 3,201.59 and 574.70

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Solution

The fourth proportional to 2,134.57, 3,201.59 and 574.70 is: 861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.57 : 3,201.59 = 574.70 : x
  2. Step 2: Convert to fraction form
    2,134.57/3,201.59 = 574.70/x
  3. Step 3: Cross multiply
    2,134.57x = 3,201.59 × 574.70
  4. Step 4: Simplify right side
    2,134.57x = 1,839,939.20
  5. Step 5: Solve for x
    x = 1,839,939.20/2,134.57
  6. Step 6: Final answer
    x = 861.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.