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Finding the Fourth Proportional to 3,023.70, 4,536.84 and 1,269.12

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Solution

The fourth proportional to 3,023.70, 4,536.84 and 1,269.12 is: 1,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.70 : 4,536.84 = 1,269.12 : x
  2. Step 2: Convert to fraction form
    3,023.70/4,536.84 = 1,269.12/x
  3. Step 3: Cross multiply
    3,023.70x = 4,536.84 × 1,269.12
  4. Step 4: Simplify right side
    3,023.70x = 5,757,794.38
  5. Step 5: Solve for x
    x = 5,757,794.38/3,023.70
  6. Step 6: Final answer
    x = 1,904.22

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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.