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Finding the Fourth Proportional to 4,340.87, 6,511.30 and 1,743.80

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Solution

The fourth proportional to 4,340.87, 6,511.30 and 1,743.80 is: 2,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.87 : 6,511.30 = 1,743.80 : x
  2. Step 2: Convert to fraction form
    4,340.87/6,511.30 = 1,743.80/x
  3. Step 3: Cross multiply
    4,340.87x = 6,511.30 × 1,743.80
  4. Step 4: Simplify right side
    4,340.87x = 11,354,416.86
  5. Step 5: Solve for x
    x = 11,354,416.86/4,340.87
  6. Step 6: Final answer
    x = 2,615.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.