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Finding the Fourth Proportional to 2,818, 4,227.36 and 1,357.12

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Solution

The fourth proportional to 2,818, 4,227.36 and 1,357.12 is: 2,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818 : 4,227.36 = 1,357.12 : x
  2. Step 2: Convert to fraction form
    2,818/4,227.36 = 1,357.12/x
  3. Step 3: Cross multiply
    2,818x = 4,227.36 × 1,357.12
  4. Step 4: Simplify right side
    2,818x = 5,737,034.80
  5. Step 5: Solve for x
    x = 5,737,034.80/2,818
  6. Step 6: Final answer
    x = 2,035.85

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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.