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Finding the Fourth Proportional to 3,142.69, 4,339.83 and 2,026.24

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Solution

The fourth proportional to 3,142.69, 4,339.83 and 2,026.24 is: 2,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.69 : 4,339.83 = 2,026.24 : x
  2. Step 2: Convert to fraction form
    3,142.69/4,339.83 = 2,026.24/x
  3. Step 3: Cross multiply
    3,142.69x = 4,339.83 × 2,026.24
  4. Step 4: Simplify right side
    3,142.69x = 8,793,537.14
  5. Step 5: Solve for x
    x = 8,793,537.14/3,142.69
  6. Step 6: Final answer
    x = 2,798.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.