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Finding the Fourth Proportional to 2,818.05, 4,227.36 and 969.32

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Solution

The fourth proportional to 2,818.05, 4,227.36 and 969.32 is: 1,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.05 : 4,227.36 = 969.32 : x
  2. Step 2: Convert to fraction form
    2,818.05/4,227.36 = 969.32/x
  3. Step 3: Cross multiply
    2,818.05x = 4,227.36 × 969.32
  4. Step 4: Simplify right side
    2,818.05x = 4,097,643.46
  5. Step 5: Solve for x
    x = 4,097,643.46/2,818.05
  6. Step 6: Final answer
    x = 1,454.07

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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.