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Finding the Fourth Proportional to 2,035.23, 3,052.95 and 574.49

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Solution

The fourth proportional to 2,035.23, 3,052.95 and 574.49 is: 861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.23 : 3,052.95 = 574.49 : x
  2. Step 2: Convert to fraction form
    2,035.23/3,052.95 = 574.49/x
  3. Step 3: Cross multiply
    2,035.23x = 3,052.95 × 574.49
  4. Step 4: Simplify right side
    2,035.23x = 1,753,889.25
  5. Step 5: Solve for x
    x = 1,753,889.25/2,035.23
  6. Step 6: Final answer
    x = 861.76

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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.