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Finding the Fourth Proportional to 2,226, 3,340.68 and 1,071.72

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Solution

The fourth proportional to 2,226, 3,340.68 and 1,071.72 is: 1,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226 : 3,340.68 = 1,071.72 : x
  2. Step 2: Convert to fraction form
    2,226/3,340.68 = 1,071.72/x
  3. Step 3: Cross multiply
    2,226x = 3,340.68 × 1,071.72
  4. Step 4: Simplify right side
    2,226x = 3,580,273.57
  5. Step 5: Solve for x
    x = 3,580,273.57/2,226
  6. Step 6: Final answer
    x = 1,608.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.