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Finding the Fourth Proportional to 2,062.50, 3,093.93 and 523.50

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Solution

The fourth proportional to 2,062.50, 3,093.93 and 523.50 is: 785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.50 : 3,093.93 = 523.50 : x
  2. Step 2: Convert to fraction form
    2,062.50/3,093.93 = 523.50/x
  3. Step 3: Cross multiply
    2,062.50x = 3,093.93 × 523.50
  4. Step 4: Simplify right side
    2,062.50x = 1,619,672.36
  5. Step 5: Solve for x
    x = 1,619,672.36/2,062.50
  6. Step 6: Final answer
    x = 785.30

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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.