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Finding the Fourth Proportional to 3,131.96, 4,319.55 and 2,012.99

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Solution

The fourth proportional to 3,131.96, 4,319.55 and 2,012.99 is: 2,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.96 : 4,319.55 = 2,012.99 : x
  2. Step 2: Convert to fraction form
    3,131.96/4,319.55 = 2,012.99/x
  3. Step 3: Cross multiply
    3,131.96x = 4,319.55 × 2,012.99
  4. Step 4: Simplify right side
    3,131.96x = 8,695,189.36
  5. Step 5: Solve for x
    x = 8,695,189.36/3,131.96
  6. Step 6: Final answer
    x = 2,776.28

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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.