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Finding the Fourth Proportional to 2,309.65, 3,461.45 and 2,016.41

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Solution

The fourth proportional to 2,309.65, 3,461.45 and 2,016.41 is: 3,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.65 : 3,461.45 = 2,016.41 : x
  2. Step 2: Convert to fraction form
    2,309.65/3,461.45 = 2,016.41/x
  3. Step 3: Cross multiply
    2,309.65x = 3,461.45 × 2,016.41
  4. Step 4: Simplify right side
    2,309.65x = 6,979,675.01
  5. Step 5: Solve for x
    x = 6,979,675.01/2,309.65
  6. Step 6: Final answer
    x = 3,021.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.