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Finding the Fourth Proportional to 3,014.74, 4,522.38 and 1,066.96

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Solution

The fourth proportional to 3,014.74, 4,522.38 and 1,066.96 is: 1,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.74 : 4,522.38 = 1,066.96 : x
  2. Step 2: Convert to fraction form
    3,014.74/4,522.38 = 1,066.96/x
  3. Step 3: Cross multiply
    3,014.74x = 4,522.38 × 1,066.96
  4. Step 4: Simplify right side
    3,014.74x = 4,825,198.56
  5. Step 5: Solve for x
    x = 4,825,198.56/3,014.74
  6. Step 6: Final answer
    x = 1,600.54

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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.