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Finding the Fourth Proportional to 3,100.79, 4,647.23 and 1,453.71

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Solution

The fourth proportional to 3,100.79, 4,647.23 and 1,453.71 is: 2,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.79 : 4,647.23 = 1,453.71 : x
  2. Step 2: Convert to fraction form
    3,100.79/4,647.23 = 1,453.71/x
  3. Step 3: Cross multiply
    3,100.79x = 4,647.23 × 1,453.71
  4. Step 4: Simplify right side
    3,100.79x = 6,755,724.72
  5. Step 5: Solve for x
    x = 6,755,724.72/3,100.79
  6. Step 6: Final answer
    x = 2,178.71

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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.