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Finding the Fourth Proportional to 3,131.93, 4,319.99 and 2,014.28

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Solution

The fourth proportional to 3,131.93, 4,319.99 and 2,014.28 is: 2,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.93 : 4,319.99 = 2,014.28 : x
  2. Step 2: Convert to fraction form
    3,131.93/4,319.99 = 2,014.28/x
  3. Step 3: Cross multiply
    3,131.93x = 4,319.99 × 2,014.28
  4. Step 4: Simplify right side
    3,131.93x = 8,701,685.29
  5. Step 5: Solve for x
    x = 8,701,685.29/3,131.93
  6. Step 6: Final answer
    x = 2,778.38

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Why These Related Problems?

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