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Finding the Fourth Proportional to 2,103.14, 3,156.12 and 735.14

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Solution

The fourth proportional to 2,103.14, 3,156.12 and 735.14 is: 1,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.14 : 3,156.12 = 735.14 : x
  2. Step 2: Convert to fraction form
    2,103.14/3,156.12 = 735.14/x
  3. Step 3: Cross multiply
    2,103.14x = 3,156.12 × 735.14
  4. Step 4: Simplify right side
    2,103.14x = 2,320,190.06
  5. Step 5: Solve for x
    x = 2,320,190.06/2,103.14
  6. Step 6: Final answer
    x = 1,103.20

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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.