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Finding the Fourth Proportional to 2,062.55, 3,093.79 and 502.57

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Solution

The fourth proportional to 2,062.55, 3,093.79 and 502.57 is: 753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.55 : 3,093.79 = 502.57 : x
  2. Step 2: Convert to fraction form
    2,062.55/3,093.79 = 502.57/x
  3. Step 3: Cross multiply
    2,062.55x = 3,093.79 × 502.57
  4. Step 4: Simplify right side
    2,062.55x = 1,554,837.05
  5. Step 5: Solve for x
    x = 1,554,837.05/2,062.55
  6. Step 6: Final answer
    x = 753.84

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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.