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Finding the Fourth Proportional to 3,027.13, 4,177 and 1,700.57

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Solution

The fourth proportional to 3,027.13, 4,177 and 1,700.57 is: 2,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.13 : 4,177 = 1,700.57 : x
  2. Step 2: Convert to fraction form
    3,027.13/4,177 = 1,700.57/x
  3. Step 3: Cross multiply
    3,027.13x = 4,177 × 1,700.57
  4. Step 4: Simplify right side
    3,027.13x = 7,103,291.33
  5. Step 5: Solve for x
    x = 7,103,291.33/3,027.13
  6. Step 6: Final answer
    x = 2,346.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.