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Finding the Fourth Proportional to 2,773.08, 3,830.22 and 2,191.32

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Solution

The fourth proportional to 2,773.08, 3,830.22 and 2,191.32 is: 3,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.08 : 3,830.22 = 2,191.32 : x
  2. Step 2: Convert to fraction form
    2,773.08/3,830.22 = 2,191.32/x
  3. Step 3: Cross multiply
    2,773.08x = 3,830.22 × 2,191.32
  4. Step 4: Simplify right side
    2,773.08x = 8,393,237.69
  5. Step 5: Solve for x
    x = 8,393,237.69/2,773.08
  6. Step 6: Final answer
    x = 3,026.68

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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.