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Finding the Fourth Proportional to 2,195.76, 3,293.72 and 734.93

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Solution

The fourth proportional to 2,195.76, 3,293.72 and 734.93 is: 1,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.76 : 3,293.72 = 734.93 : x
  2. Step 2: Convert to fraction form
    2,195.76/3,293.72 = 734.93/x
  3. Step 3: Cross multiply
    2,195.76x = 3,293.72 × 734.93
  4. Step 4: Simplify right side
    2,195.76x = 2,420,653.64
  5. Step 5: Solve for x
    x = 2,420,653.64/2,195.76
  6. Step 6: Final answer
    x = 1,102.42

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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.