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Finding the Fourth Proportional to 2,102.63, 3,155.38 and 734.63

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Solution

The fourth proportional to 2,102.63, 3,155.38 and 734.63 is: 1,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.63 : 3,155.38 = 734.63 : x
  2. Step 2: Convert to fraction form
    2,102.63/3,155.38 = 734.63/x
  3. Step 3: Cross multiply
    2,102.63x = 3,155.38 × 734.63
  4. Step 4: Simplify right side
    2,102.63x = 2,318,019.20
  5. Step 5: Solve for x
    x = 2,318,019.20/2,102.63
  6. Step 6: Final answer
    x = 1,102.44

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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.