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Finding the Fourth Proportional to 2,296.15, 3,444.76 and 736.25

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Solution

The fourth proportional to 2,296.15, 3,444.76 and 736.25 is: 1,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.15 : 3,444.76 = 736.25 : x
  2. Step 2: Convert to fraction form
    2,296.15/3,444.76 = 736.25/x
  3. Step 3: Cross multiply
    2,296.15x = 3,444.76 × 736.25
  4. Step 4: Simplify right side
    2,296.15x = 2,536,188.25
  5. Step 5: Solve for x
    x = 2,536,188.25/2,296.15
  6. Step 6: Final answer
    x = 1,104.54

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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.