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Finding the Fourth Proportional to 2,295.96, 3,445.05 and 736.20

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Solution

The fourth proportional to 2,295.96, 3,445.05 and 736.20 is: 1,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.96 : 3,445.05 = 736.20 : x
  2. Step 2: Convert to fraction form
    2,295.96/3,445.05 = 736.20/x
  3. Step 3: Cross multiply
    2,295.96x = 3,445.05 × 736.20
  4. Step 4: Simplify right side
    2,295.96x = 2,536,245.81
  5. Step 5: Solve for x
    x = 2,536,245.81/2,295.96
  6. Step 6: Final answer
    x = 1,104.66

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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.