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Finding the Fourth Proportional to 6,410.80, 9,615.60 and 1,793.68

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Solution

The fourth proportional to 6,410.80, 9,615.60 and 1,793.68 is: 2,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.80 : 9,615.60 = 1,793.68 : x
  2. Step 2: Convert to fraction form
    6,410.80/9,615.60 = 1,793.68/x
  3. Step 3: Cross multiply
    6,410.80x = 9,615.60 × 1,793.68
  4. Step 4: Simplify right side
    6,410.80x = 17,247,309.41
  5. Step 5: Solve for x
    x = 17,247,309.41/6,410.80
  6. Step 6: Final answer
    x = 2,690.35

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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.