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Finding the Fourth Proportional to 3,054.96, 4,213.34 and 2,661.30

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Solution

The fourth proportional to 3,054.96, 4,213.34 and 2,661.30 is: 3,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.96 : 4,213.34 = 2,661.30 : x
  2. Step 2: Convert to fraction form
    3,054.96/4,213.34 = 2,661.30/x
  3. Step 3: Cross multiply
    3,054.96x = 4,213.34 × 2,661.30
  4. Step 4: Simplify right side
    3,054.96x = 11,212,961.74
  5. Step 5: Solve for x
    x = 11,212,961.74/3,054.96
  6. Step 6: Final answer
    x = 3,670.41

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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.