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Finding the Fourth Proportional to 2,035.17, 3,052.39 and 573.97

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Solution

The fourth proportional to 2,035.17, 3,052.39 and 573.97 is: 860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.17 : 3,052.39 = 573.97 : x
  2. Step 2: Convert to fraction form
    2,035.17/3,052.39 = 573.97/x
  3. Step 3: Cross multiply
    2,035.17x = 3,052.39 × 573.97
  4. Step 4: Simplify right side
    2,035.17x = 1,751,980.29
  5. Step 5: Solve for x
    x = 1,751,980.29/2,035.17
  6. Step 6: Final answer
    x = 860.85

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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.