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Finding the Fourth Proportional to 2,103.45, 3,149.10 and 2,103.45

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Solution

The fourth proportional to 2,103.45, 3,149.10 and 2,103.45 is: 3,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.45 : 3,149.10 = 2,103.45 : x
  2. Step 2: Convert to fraction form
    2,103.45/3,149.10 = 2,103.45/x
  3. Step 3: Cross multiply
    2,103.45x = 3,149.10 × 2,103.45
  4. Step 4: Simplify right side
    2,103.45x = 6,623,974.40
  5. Step 5: Solve for x
    x = 6,623,974.40/2,103.45
  6. Step 6: Final answer
    x = 3,149.10

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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.