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Finding the Fourth Proportional to 3,259.77, 4,497.31 and 2,141.31

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Solution

The fourth proportional to 3,259.77, 4,497.31 and 2,141.31 is: 2,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.77 : 4,497.31 = 2,141.31 : x
  2. Step 2: Convert to fraction form
    3,259.77/4,497.31 = 2,141.31/x
  3. Step 3: Cross multiply
    3,259.77x = 4,497.31 × 2,141.31
  4. Step 4: Simplify right side
    3,259.77x = 9,630,134.88
  5. Step 5: Solve for x
    x = 9,630,134.88/3,259.77
  6. Step 6: Final answer
    x = 2,954.24

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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.