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Finding the Fourth Proportional to 1,593.75, 2,385.51 and 851.51

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Solution

The fourth proportional to 1,593.75, 2,385.51 and 851.51 is: 1,274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.75 : 2,385.51 = 851.51 : x
  2. Step 2: Convert to fraction form
    1,593.75/2,385.51 = 851.51/x
  3. Step 3: Cross multiply
    1,593.75x = 2,385.51 × 851.51
  4. Step 4: Simplify right side
    1,593.75x = 2,031,288.87
  5. Step 5: Solve for x
    x = 2,031,288.87/1,593.75
  6. Step 6: Final answer
    x = 1,274.53

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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.