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Finding the Fourth Proportional to 2,035.21, 3,052.54 and 574.48

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Solution

The fourth proportional to 2,035.21, 3,052.54 and 574.48 is: 861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.21 : 3,052.54 = 574.48 : x
  2. Step 2: Convert to fraction form
    2,035.21/3,052.54 = 574.48/x
  3. Step 3: Cross multiply
    2,035.21x = 3,052.54 × 574.48
  4. Step 4: Simplify right side
    2,035.21x = 1,753,605.04
  5. Step 5: Solve for x
    x = 1,753,605.04/2,035.21
  6. Step 6: Final answer
    x = 861.64

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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.