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Finding the Fourth Proportional to 3,241.32, 4,857.90 and 1,760.52

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Solution

The fourth proportional to 3,241.32, 4,857.90 and 1,760.52 is: 2,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.32 : 4,857.90 = 1,760.52 : x
  2. Step 2: Convert to fraction form
    3,241.32/4,857.90 = 1,760.52/x
  3. Step 3: Cross multiply
    3,241.32x = 4,857.90 × 1,760.52
  4. Step 4: Simplify right side
    3,241.32x = 8,552,430.11
  5. Step 5: Solve for x
    x = 8,552,430.11/3,241.32
  6. Step 6: Final answer
    x = 2,638.56

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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.