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Finding the Fourth Proportional to 2,731.04, 4,099.41 and 2,420.66

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Solution

The fourth proportional to 2,731.04, 4,099.41 and 2,420.66 is: 3,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.04 : 4,099.41 = 2,420.66 : x
  2. Step 2: Convert to fraction form
    2,731.04/4,099.41 = 2,420.66/x
  3. Step 3: Cross multiply
    2,731.04x = 4,099.41 × 2,420.66
  4. Step 4: Simplify right side
    2,731.04x = 9,923,288.06
  5. Step 5: Solve for x
    x = 9,923,288.06/2,731.04
  6. Step 6: Final answer
    x = 3,633.52

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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.