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Finding the Fourth Proportional to 3,264.71, 4,505.30 and 1,772.63

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Solution

The fourth proportional to 3,264.71, 4,505.30 and 1,772.63 is: 2,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.71 : 4,505.30 = 1,772.63 : x
  2. Step 2: Convert to fraction form
    3,264.71/4,505.30 = 1,772.63/x
  3. Step 3: Cross multiply
    3,264.71x = 4,505.30 × 1,772.63
  4. Step 4: Simplify right side
    3,264.71x = 7,986,219.39
  5. Step 5: Solve for x
    x = 7,986,219.39/3,264.71
  6. Step 6: Final answer
    x = 2,446.23

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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.