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Finding the Fourth Proportional to 2,818.16, 4,227.34 and 969.26

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Solution

The fourth proportional to 2,818.16, 4,227.34 and 969.26 is: 1,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.16 : 4,227.34 = 969.26 : x
  2. Step 2: Convert to fraction form
    2,818.16/4,227.34 = 969.26/x
  3. Step 3: Cross multiply
    2,818.16x = 4,227.34 × 969.26
  4. Step 4: Simplify right side
    2,818.16x = 4,097,391.57
  5. Step 5: Solve for x
    x = 4,097,391.57/2,818.16
  6. Step 6: Final answer
    x = 1,453.92

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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.