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Finding the Fourth Proportional to 2,813.24, 4,219.86 and 865.46

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Solution

The fourth proportional to 2,813.24, 4,219.86 and 865.46 is: 1,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.24 : 4,219.86 = 865.46 : x
  2. Step 2: Convert to fraction form
    2,813.24/4,219.86 = 865.46/x
  3. Step 3: Cross multiply
    2,813.24x = 4,219.86 × 865.46
  4. Step 4: Simplify right side
    2,813.24x = 3,652,120.04
  5. Step 5: Solve for x
    x = 3,652,120.04/2,813.24
  6. Step 6: Final answer
    x = 1,298.19

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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.