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Finding the Fourth Proportional to 3,101.92, 4,649.20 and 1,716.08

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Solution

The fourth proportional to 3,101.92, 4,649.20 and 1,716.08 is: 2,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.92 : 4,649.20 = 1,716.08 : x
  2. Step 2: Convert to fraction form
    3,101.92/4,649.20 = 1,716.08/x
  3. Step 3: Cross multiply
    3,101.92x = 4,649.20 × 1,716.08
  4. Step 4: Simplify right side
    3,101.92x = 7,978,399.14
  5. Step 5: Solve for x
    x = 7,978,399.14/3,101.92
  6. Step 6: Final answer
    x = 2,572.08

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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.