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Finding the Fourth Proportional to 2,846.72, 4,258.82 and 2,155.38

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Solution

The fourth proportional to 2,846.72, 4,258.82 and 2,155.38 is: 3,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.72 : 4,258.82 = 2,155.38 : x
  2. Step 2: Convert to fraction form
    2,846.72/4,258.82 = 2,155.38/x
  3. Step 3: Cross multiply
    2,846.72x = 4,258.82 × 2,155.38
  4. Step 4: Simplify right side
    2,846.72x = 9,179,364.67
  5. Step 5: Solve for x
    x = 9,179,364.67/2,846.72
  6. Step 6: Final answer
    x = 3,224.55

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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.