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Finding the Fourth Proportional to 3,241.13, 4,861.80 and 901.16

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Solution

The fourth proportional to 3,241.13, 4,861.80 and 901.16 is: 1,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.13 : 4,861.80 = 901.16 : x
  2. Step 2: Convert to fraction form
    3,241.13/4,861.80 = 901.16/x
  3. Step 3: Cross multiply
    3,241.13x = 4,861.80 × 901.16
  4. Step 4: Simplify right side
    3,241.13x = 4,381,259.69
  5. Step 5: Solve for x
    x = 4,381,259.69/3,241.13
  6. Step 6: Final answer
    x = 1,351.77

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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.