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Finding the Fourth Proportional to 2,427.92, 3,353.64 and 1,728.08

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Solution

The fourth proportional to 2,427.92, 3,353.64 and 1,728.08 is: 2,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.92 : 3,353.64 = 1,728.08 : x
  2. Step 2: Convert to fraction form
    2,427.92/3,353.64 = 1,728.08/x
  3. Step 3: Cross multiply
    2,427.92x = 3,353.64 × 1,728.08
  4. Step 4: Simplify right side
    2,427.92x = 5,795,358.21
  5. Step 5: Solve for x
    x = 5,795,358.21/2,427.92
  6. Step 6: Final answer
    x = 2,386.96

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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.