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Finding the Fourth Proportional to 2,852.16, 3,932.19 and 2,560.56

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Solution

The fourth proportional to 2,852.16, 3,932.19 and 2,560.56 is: 3,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.16 : 3,932.19 = 2,560.56 : x
  2. Step 2: Convert to fraction form
    2,852.16/3,932.19 = 2,560.56/x
  3. Step 3: Cross multiply
    2,852.16x = 3,932.19 × 2,560.56
  4. Step 4: Simplify right side
    2,852.16x = 10,068,608.43
  5. Step 5: Solve for x
    x = 10,068,608.43/2,852.16
  6. Step 6: Final answer
    x = 3,530.17

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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.