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Finding the Fourth Proportional to 2,209.13, 3,049.01 and 1,423.63

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Solution

The fourth proportional to 2,209.13, 3,049.01 and 1,423.63 is: 1,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.13 : 3,049.01 = 1,423.63 : x
  2. Step 2: Convert to fraction form
    2,209.13/3,049.01 = 1,423.63/x
  3. Step 3: Cross multiply
    2,209.13x = 3,049.01 × 1,423.63
  4. Step 4: Simplify right side
    2,209.13x = 4,340,662.11
  5. Step 5: Solve for x
    x = 4,340,662.11/2,209.13
  6. Step 6: Final answer
    x = 1,964.87

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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.