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Finding the Fourth Proportional to 2,733.22, 4,103.92 and 1,564.54

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Solution

The fourth proportional to 2,733.22, 4,103.92 and 1,564.54 is: 2,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.22 : 4,103.92 = 1,564.54 : x
  2. Step 2: Convert to fraction form
    2,733.22/4,103.92 = 1,564.54/x
  3. Step 3: Cross multiply
    2,733.22x = 4,103.92 × 1,564.54
  4. Step 4: Simplify right side
    2,733.22x = 6,420,747.00
  5. Step 5: Solve for x
    x = 6,420,747.00/2,733.22
  6. Step 6: Final answer
    x = 2,349.15

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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.