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Finding the Fourth Proportional to 2,893.04, 3,991.22 and 2,138.64

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Solution

The fourth proportional to 2,893.04, 3,991.22 and 2,138.64 is: 2,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.04 : 3,991.22 = 2,138.64 : x
  2. Step 2: Convert to fraction form
    2,893.04/3,991.22 = 2,138.64/x
  3. Step 3: Cross multiply
    2,893.04x = 3,991.22 × 2,138.64
  4. Step 4: Simplify right side
    2,893.04x = 8,535,782.74
  5. Step 5: Solve for x
    x = 8,535,782.74/2,893.04
  6. Step 6: Final answer
    x = 2,950.45

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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.