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Finding the Fourth Proportional to 1,429.96, 2,144.94 and 1,143.22

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Solution

The fourth proportional to 1,429.96, 2,144.94 and 1,143.22 is: 1,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.96 : 2,144.94 = 1,143.22 : x
  2. Step 2: Convert to fraction form
    1,429.96/2,144.94 = 1,143.22/x
  3. Step 3: Cross multiply
    1,429.96x = 2,144.94 × 1,143.22
  4. Step 4: Simplify right side
    1,429.96x = 2,452,138.31
  5. Step 5: Solve for x
    x = 2,452,138.31/1,429.96
  6. Step 6: Final answer
    x = 1,714.83

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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.