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Finding the Fourth Proportional to 3,189.95, 4,782.08 and 1,241.69

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Solution

The fourth proportional to 3,189.95, 4,782.08 and 1,241.69 is: 1,861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.95 : 4,782.08 = 1,241.69 : x
  2. Step 2: Convert to fraction form
    3,189.95/4,782.08 = 1,241.69/x
  3. Step 3: Cross multiply
    3,189.95x = 4,782.08 × 1,241.69
  4. Step 4: Simplify right side
    3,189.95x = 5,937,875.97
  5. Step 5: Solve for x
    x = 5,937,875.97/3,189.95
  6. Step 6: Final answer
    x = 1,861.44

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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.