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Finding the Fourth Proportional to 3,108.56, 4,663.56 and 1,647.38

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Solution

The fourth proportional to 3,108.56, 4,663.56 and 1,647.38 is: 2,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.56 : 4,663.56 = 1,647.38 : x
  2. Step 2: Convert to fraction form
    3,108.56/4,663.56 = 1,647.38/x
  3. Step 3: Cross multiply
    3,108.56x = 4,663.56 × 1,647.38
  4. Step 4: Simplify right side
    3,108.56x = 7,682,655.47
  5. Step 5: Solve for x
    x = 7,682,655.47/3,108.56
  6. Step 6: Final answer
    x = 2,471.45

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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.