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Finding the Fourth Proportional to 2,771.82, 4,160.16 and 2,159.46

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Solution

The fourth proportional to 2,771.82, 4,160.16 and 2,159.46 is: 3,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.82 : 4,160.16 = 2,159.46 : x
  2. Step 2: Convert to fraction form
    2,771.82/4,160.16 = 2,159.46/x
  3. Step 3: Cross multiply
    2,771.82x = 4,160.16 × 2,159.46
  4. Step 4: Simplify right side
    2,771.82x = 8,983,699.11
  5. Step 5: Solve for x
    x = 8,983,699.11/2,771.82
  6. Step 6: Final answer
    x = 3,241.08

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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.