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Finding the Fourth Proportional to 2,241.72, 3,098.99 and 2,054.91

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Solution

The fourth proportional to 2,241.72, 3,098.99 and 2,054.91 is: 2,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.72 : 3,098.99 = 2,054.91 : x
  2. Step 2: Convert to fraction form
    2,241.72/3,098.99 = 2,054.91/x
  3. Step 3: Cross multiply
    2,241.72x = 3,098.99 × 2,054.91
  4. Step 4: Simplify right side
    2,241.72x = 6,368,135.27
  5. Step 5: Solve for x
    x = 6,368,135.27/2,241.72
  6. Step 6: Final answer
    x = 2,840.74

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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.