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Finding the Fourth Proportional to 3,244.50, 4,477.41 and 1,772.50

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Solution

The fourth proportional to 3,244.50, 4,477.41 and 1,772.50 is: 2,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.50 : 4,477.41 = 1,772.50 : x
  2. Step 2: Convert to fraction form
    3,244.50/4,477.41 = 1,772.50/x
  3. Step 3: Cross multiply
    3,244.50x = 4,477.41 × 1,772.50
  4. Step 4: Simplify right side
    3,244.50x = 7,936,209.23
  5. Step 5: Solve for x
    x = 7,936,209.23/3,244.50
  6. Step 6: Final answer
    x = 2,446.05

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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.