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Finding the Fourth Proportional to 2,844.92, 4,267.85 and 896.67

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Solution

The fourth proportional to 2,844.92, 4,267.85 and 896.67 is: 1,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.92 : 4,267.85 = 896.67 : x
  2. Step 2: Convert to fraction form
    2,844.92/4,267.85 = 896.67/x
  3. Step 3: Cross multiply
    2,844.92x = 4,267.85 × 896.67
  4. Step 4: Simplify right side
    2,844.92x = 3,826,855.30
  5. Step 5: Solve for x
    x = 3,826,855.30/2,844.92
  6. Step 6: Final answer
    x = 1,345.15

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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.