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Finding the Fourth Proportional to 2,296.77, 3,445.12 and 736.75

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Solution

The fourth proportional to 2,296.77, 3,445.12 and 736.75 is: 1,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.77 : 3,445.12 = 736.75 : x
  2. Step 2: Convert to fraction form
    2,296.77/3,445.12 = 736.75/x
  3. Step 3: Cross multiply
    2,296.77x = 3,445.12 × 736.75
  4. Step 4: Simplify right side
    2,296.77x = 2,538,192.16
  5. Step 5: Solve for x
    x = 2,538,192.16/2,296.77
  6. Step 6: Final answer
    x = 1,105.11

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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.