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Finding the Fourth Proportional to 2,577.92, 3,867.48 and 846.56

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Solution

The fourth proportional to 2,577.92, 3,867.48 and 846.56 is: 1,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.92 : 3,867.48 = 846.56 : x
  2. Step 2: Convert to fraction form
    2,577.92/3,867.48 = 846.56/x
  3. Step 3: Cross multiply
    2,577.92x = 3,867.48 × 846.56
  4. Step 4: Simplify right side
    2,577.92x = 3,274,053.87
  5. Step 5: Solve for x
    x = 3,274,053.87/2,577.92
  6. Step 6: Final answer
    x = 1,270.04

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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.