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Finding the Fourth Proportional to 3,167.44, 4,751.66 and 1,522.94

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Solution

The fourth proportional to 3,167.44, 4,751.66 and 1,522.94 is: 2,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.44 : 4,751.66 = 1,522.94 : x
  2. Step 2: Convert to fraction form
    3,167.44/4,751.66 = 1,522.94/x
  3. Step 3: Cross multiply
    3,167.44x = 4,751.66 × 1,522.94
  4. Step 4: Simplify right side
    3,167.44x = 7,236,473.13
  5. Step 5: Solve for x
    x = 7,236,473.13/3,167.44
  6. Step 6: Final answer
    x = 2,284.65

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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.