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Finding the Fourth Proportional to 3,131.78, 4,321.86 and 1,734.50

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Solution

The fourth proportional to 3,131.78, 4,321.86 and 1,734.50 is: 2,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.78 : 4,321.86 = 1,734.50 : x
  2. Step 2: Convert to fraction form
    3,131.78/4,321.86 = 1,734.50/x
  3. Step 3: Cross multiply
    3,131.78x = 4,321.86 × 1,734.50
  4. Step 4: Simplify right side
    3,131.78x = 7,496,266.17
  5. Step 5: Solve for x
    x = 7,496,266.17/3,131.78
  6. Step 6: Final answer
    x = 2,393.61

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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.