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Finding the Fourth Proportional to 3,410.91, 5,117.18 and 1,768.23

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Solution

The fourth proportional to 3,410.91, 5,117.18 and 1,768.23 is: 2,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.91 : 5,117.18 = 1,768.23 : x
  2. Step 2: Convert to fraction form
    3,410.91/5,117.18 = 1,768.23/x
  3. Step 3: Cross multiply
    3,410.91x = 5,117.18 × 1,768.23
  4. Step 4: Simplify right side
    3,410.91x = 9,048,342.35
  5. Step 5: Solve for x
    x = 9,048,342.35/3,410.91
  6. Step 6: Final answer
    x = 2,652.76

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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.