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Finding the Fourth Proportional to 2,169.13, 2,993.34 and 1,610.23

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Solution

The fourth proportional to 2,169.13, 2,993.34 and 1,610.23 is: 2,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.13 : 2,993.34 = 1,610.23 : x
  2. Step 2: Convert to fraction form
    2,169.13/2,993.34 = 1,610.23/x
  3. Step 3: Cross multiply
    2,169.13x = 2,993.34 × 1,610.23
  4. Step 4: Simplify right side
    2,169.13x = 4,819,965.87
  5. Step 5: Solve for x
    x = 4,819,965.87/2,169.13
  6. Step 6: Final answer
    x = 2,222.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.