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Finding the Fourth Proportional to 2,169.22, 2,993.76 and 1,423.78

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Solution

The fourth proportional to 2,169.22, 2,993.76 and 1,423.78 is: 1,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.22 : 2,993.76 = 1,423.78 : x
  2. Step 2: Convert to fraction form
    2,169.22/2,993.76 = 1,423.78/x
  3. Step 3: Cross multiply
    2,169.22x = 2,993.76 × 1,423.78
  4. Step 4: Simplify right side
    2,169.22x = 4,262,455.61
  5. Step 5: Solve for x
    x = 4,262,455.61/2,169.22
  6. Step 6: Final answer
    x = 1,964.97

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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.