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Finding the Fourth Proportional to 2,308.65, 3,456.83 and 2,013.41

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Solution

The fourth proportional to 2,308.65, 3,456.83 and 2,013.41 is: 3,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.65 : 3,456.83 = 2,013.41 : x
  2. Step 2: Convert to fraction form
    2,308.65/3,456.83 = 2,013.41/x
  3. Step 3: Cross multiply
    2,308.65x = 3,456.83 × 2,013.41
  4. Step 4: Simplify right side
    2,308.65x = 6,959,999.00
  5. Step 5: Solve for x
    x = 6,959,999.00/2,308.65
  6. Step 6: Final answer
    x = 3,014.75

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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.