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Finding the Fourth Proportional to 2,100.09, 3,150.12 and 540.09

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Solution

The fourth proportional to 2,100.09, 3,150.12 and 540.09 is: 810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.09 : 3,150.12 = 540.09 : x
  2. Step 2: Convert to fraction form
    2,100.09/3,150.12 = 540.09/x
  3. Step 3: Cross multiply
    2,100.09x = 3,150.12 × 540.09
  4. Step 4: Simplify right side
    2,100.09x = 1,701,348.31
  5. Step 5: Solve for x
    x = 1,701,348.31/2,100.09
  6. Step 6: Final answer
    x = 810.13

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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.