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Finding the Fourth Proportional to 2,035.13, 3,052.68 and 574.28

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Solution

The fourth proportional to 2,035.13, 3,052.68 and 574.28 is: 861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.13 : 3,052.68 = 574.28 : x
  2. Step 2: Convert to fraction form
    2,035.13/3,052.68 = 574.28/x
  3. Step 3: Cross multiply
    2,035.13x = 3,052.68 × 574.28
  4. Step 4: Simplify right side
    2,035.13x = 1,753,077.81
  5. Step 5: Solve for x
    x = 1,753,077.81/2,035.13
  6. Step 6: Final answer
    x = 861.41

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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.