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Finding the Fourth Proportional to 2,788.32, 3,846.30 and 2,293.28

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Solution

The fourth proportional to 2,788.32, 3,846.30 and 2,293.28 is: 3,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.32 : 3,846.30 = 2,293.28 : x
  2. Step 2: Convert to fraction form
    2,788.32/3,846.30 = 2,293.28/x
  3. Step 3: Cross multiply
    2,788.32x = 3,846.30 × 2,293.28
  4. Step 4: Simplify right side
    2,788.32x = 8,820,623.63
  5. Step 5: Solve for x
    x = 8,820,623.63/2,788.32
  6. Step 6: Final answer
    x = 3,163.42

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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.