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Finding the Fourth Proportional to 2,261.21, 3,390.56 and 779.75

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Solution

The fourth proportional to 2,261.21, 3,390.56 and 779.75 is: 1,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.21 : 3,390.56 = 779.75 : x
  2. Step 2: Convert to fraction form
    2,261.21/3,390.56 = 779.75/x
  3. Step 3: Cross multiply
    2,261.21x = 3,390.56 × 779.75
  4. Step 4: Simplify right side
    2,261.21x = 2,643,768.31
  5. Step 5: Solve for x
    x = 2,643,768.31/2,261.21
  6. Step 6: Final answer
    x = 1,169.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.