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Finding the Fourth Proportional to 3,147.17, 4,343 and 1,730.86

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Solution

The fourth proportional to 3,147.17, 4,343 and 1,730.86 is: 2,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.17 : 4,343 = 1,730.86 : x
  2. Step 2: Convert to fraction form
    3,147.17/4,343 = 1,730.86/x
  3. Step 3: Cross multiply
    3,147.17x = 4,343 × 1,730.86
  4. Step 4: Simplify right side
    3,147.17x = 7,517,124.98
  5. Step 5: Solve for x
    x = 7,517,124.98/3,147.17
  6. Step 6: Final answer
    x = 2,388.53

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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.