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Finding the Fourth Proportional to 3,142.86, 4,337.68 and 1,817.33

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Solution

The fourth proportional to 3,142.86, 4,337.68 and 1,817.33 is: 2,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.86 : 4,337.68 = 1,817.33 : x
  2. Step 2: Convert to fraction form
    3,142.86/4,337.68 = 1,817.33/x
  3. Step 3: Cross multiply
    3,142.86x = 4,337.68 × 1,817.33
  4. Step 4: Simplify right side
    3,142.86x = 7,883,002.30
  5. Step 5: Solve for x
    x = 7,883,002.30/3,142.86
  6. Step 6: Final answer
    x = 2,508.23

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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.