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Finding the Fourth Proportional to 2,965.94, 4,090.66 and 2,767.22

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Solution

The fourth proportional to 2,965.94, 4,090.66 and 2,767.22 is: 3,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.94 : 4,090.66 = 2,767.22 : x
  2. Step 2: Convert to fraction form
    2,965.94/4,090.66 = 2,767.22/x
  3. Step 3: Cross multiply
    2,965.94x = 4,090.66 × 2,767.22
  4. Step 4: Simplify right side
    2,965.94x = 11,319,728.79
  5. Step 5: Solve for x
    x = 11,319,728.79/2,965.94
  6. Step 6: Final answer
    x = 3,816.58

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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.