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Finding the Fourth Proportional to 2,100.13, 3,150.13 and 540.07

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Solution

The fourth proportional to 2,100.13, 3,150.13 and 540.07 is: 810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.13 : 3,150.13 = 540.07 : x
  2. Step 2: Convert to fraction form
    2,100.13/3,150.13 = 540.07/x
  3. Step 3: Cross multiply
    2,100.13x = 3,150.13 × 540.07
  4. Step 4: Simplify right side
    2,100.13x = 1,701,290.71
  5. Step 5: Solve for x
    x = 1,701,290.71/2,100.13
  6. Step 6: Final answer
    x = 810.09

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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.