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Finding the Fourth Proportional to 2,843.80, 4,261.70 and 2,259.80

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Solution

The fourth proportional to 2,843.80, 4,261.70 and 2,259.80 is: 3,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.80 : 4,261.70 = 2,259.80 : x
  2. Step 2: Convert to fraction form
    2,843.80/4,261.70 = 2,259.80/x
  3. Step 3: Cross multiply
    2,843.80x = 4,261.70 × 2,259.80
  4. Step 4: Simplify right side
    2,843.80x = 9,630,589.66
  5. Step 5: Solve for x
    x = 9,630,589.66/2,843.80
  6. Step 6: Final answer
    x = 3,386.52

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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.