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Finding the Fourth Proportional to 2,904.22, 4,352.28 and 2,255.14

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Solution

The fourth proportional to 2,904.22, 4,352.28 and 2,255.14 is: 3,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.22 : 4,352.28 = 2,255.14 : x
  2. Step 2: Convert to fraction form
    2,904.22/4,352.28 = 2,255.14/x
  3. Step 3: Cross multiply
    2,904.22x = 4,352.28 × 2,255.14
  4. Step 4: Simplify right side
    2,904.22x = 9,815,000.72
  5. Step 5: Solve for x
    x = 9,815,000.72/2,904.22
  6. Step 6: Final answer
    x = 3,379.57

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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.