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Finding the Fourth Proportional to 2,818.36, 4,227.58 and 766.36

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Solution

The fourth proportional to 2,818.36, 4,227.58 and 766.36 is: 1,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.36 : 4,227.58 = 766.36 : x
  2. Step 2: Convert to fraction form
    2,818.36/4,227.58 = 766.36/x
  3. Step 3: Cross multiply
    2,818.36x = 4,227.58 × 766.36
  4. Step 4: Simplify right side
    2,818.36x = 3,239,848.21
  5. Step 5: Solve for x
    x = 3,239,848.21/2,818.36
  6. Step 6: Final answer
    x = 1,149.55

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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.