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Finding the Fourth Proportional to 2,112.51, 3,169.14 and 725.52

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Solution

The fourth proportional to 2,112.51, 3,169.14 and 725.52 is: 1,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.51 : 3,169.14 = 725.52 : x
  2. Step 2: Convert to fraction form
    2,112.51/3,169.14 = 725.52/x
  3. Step 3: Cross multiply
    2,112.51x = 3,169.14 × 725.52
  4. Step 4: Simplify right side
    2,112.51x = 2,299,274.45
  5. Step 5: Solve for x
    x = 2,299,274.45/2,112.51
  6. Step 6: Final answer
    x = 1,088.41

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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.