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Finding the Fourth Proportional to 2,209.65, 3,049.61 and 1,425.98

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Solution

The fourth proportional to 2,209.65, 3,049.61 and 1,425.98 is: 1,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.65 : 3,049.61 = 1,425.98 : x
  2. Step 2: Convert to fraction form
    2,209.65/3,049.61 = 1,425.98/x
  3. Step 3: Cross multiply
    2,209.65x = 3,049.61 × 1,425.98
  4. Step 4: Simplify right side
    2,209.65x = 4,348,682.87
  5. Step 5: Solve for x
    x = 4,348,682.87/2,209.65
  6. Step 6: Final answer
    x = 1,968.04

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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.