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Finding the Fourth Proportional to 3,014.96, 4,523.13 and 1,166.09

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Solution

The fourth proportional to 3,014.96, 4,523.13 and 1,166.09 is: 1,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.96 : 4,523.13 = 1,166.09 : x
  2. Step 2: Convert to fraction form
    3,014.96/4,523.13 = 1,166.09/x
  3. Step 3: Cross multiply
    3,014.96x = 4,523.13 × 1,166.09
  4. Step 4: Simplify right side
    3,014.96x = 5,274,376.66
  5. Step 5: Solve for x
    x = 5,274,376.66/3,014.96
  6. Step 6: Final answer
    x = 1,749.40

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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.