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Finding the Fourth Proportional to 2,170.11, 2,993.66 and 1,423.97

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Solution

The fourth proportional to 2,170.11, 2,993.66 and 1,423.97 is: 1,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.11 : 2,993.66 = 1,423.97 : x
  2. Step 2: Convert to fraction form
    2,170.11/2,993.66 = 1,423.97/x
  3. Step 3: Cross multiply
    2,170.11x = 2,993.66 × 1,423.97
  4. Step 4: Simplify right side
    2,170.11x = 4,262,859.94
  5. Step 5: Solve for x
    x = 4,262,859.94/2,170.11
  6. Step 6: Final answer
    x = 1,964.35

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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.