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Finding the Fourth Proportional to 2,626.50, 3,624.48 and 1,447.50

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Solution

The fourth proportional to 2,626.50, 3,624.48 and 1,447.50 is: 1,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.50 : 3,624.48 = 1,447.50 : x
  2. Step 2: Convert to fraction form
    2,626.50/3,624.48 = 1,447.50/x
  3. Step 3: Cross multiply
    2,626.50x = 3,624.48 × 1,447.50
  4. Step 4: Simplify right side
    2,626.50x = 5,246,434.80
  5. Step 5: Solve for x
    x = 5,246,434.80/2,626.50
  6. Step 6: Final answer
    x = 1,997.50

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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.