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Finding the Fourth Proportional to 2,113.23, 3,169.76 and 553.21

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Solution

The fourth proportional to 2,113.23, 3,169.76 and 553.21 is: 829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.23 : 3,169.76 = 553.21 : x
  2. Step 2: Convert to fraction form
    2,113.23/3,169.76 = 553.21/x
  3. Step 3: Cross multiply
    2,113.23x = 3,169.76 × 553.21
  4. Step 4: Simplify right side
    2,113.23x = 1,753,532.24
  5. Step 5: Solve for x
    x = 1,753,532.24/2,113.23
  6. Step 6: Final answer
    x = 829.79

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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.