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Finding the Fourth Proportional to 2,818.85, 4,228.97 and 969.97

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Solution

The fourth proportional to 2,818.85, 4,228.97 and 969.97 is: 1,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.85 : 4,228.97 = 969.97 : x
  2. Step 2: Convert to fraction form
    2,818.85/4,228.97 = 969.97/x
  3. Step 3: Cross multiply
    2,818.85x = 4,228.97 × 969.97
  4. Step 4: Simplify right side
    2,818.85x = 4,101,965.88
  5. Step 5: Solve for x
    x = 4,101,965.88/2,818.85
  6. Step 6: Final answer
    x = 1,455.19

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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.