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Finding the Fourth Proportional to 2,113.12, 3,169.44 and 574.24

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Solution

The fourth proportional to 2,113.12, 3,169.44 and 574.24 is: 861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.12 : 3,169.44 = 574.24 : x
  2. Step 2: Convert to fraction form
    2,113.12/3,169.44 = 574.24/x
  3. Step 3: Cross multiply
    2,113.12x = 3,169.44 × 574.24
  4. Step 4: Simplify right side
    2,113.12x = 1,820,019.23
  5. Step 5: Solve for x
    x = 1,820,019.23/2,113.12
  6. Step 6: Final answer
    x = 861.29

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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.