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Finding the Fourth Proportional to 2,035.52, 3,052.89 and 574.66

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Solution

The fourth proportional to 2,035.52, 3,052.89 and 574.66 is: 861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.52 : 3,052.89 = 574.66 : x
  2. Step 2: Convert to fraction form
    2,035.52/3,052.89 = 574.66/x
  3. Step 3: Cross multiply
    2,035.52x = 3,052.89 × 574.66
  4. Step 4: Simplify right side
    2,035.52x = 1,754,366.14
  5. Step 5: Solve for x
    x = 1,754,366.14/2,035.52
  6. Step 6: Final answer
    x = 861.88

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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.