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Finding the Fourth Proportional to 2,062.54, 3,093.77 and 502.55

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Solution

The fourth proportional to 2,062.54, 3,093.77 and 502.55 is: 753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.54 : 3,093.77 = 502.55 : x
  2. Step 2: Convert to fraction form
    2,062.54/3,093.77 = 502.55/x
  3. Step 3: Cross multiply
    2,062.54x = 3,093.77 × 502.55
  4. Step 4: Simplify right side
    2,062.54x = 1,554,774.11
  5. Step 5: Solve for x
    x = 1,554,774.11/2,062.54
  6. Step 6: Final answer
    x = 753.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.