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Finding the Fourth Proportional to 3,264.64, 4,505.25 and 1,772.56

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Solution

The fourth proportional to 3,264.64, 4,505.25 and 1,772.56 is: 2,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.64 : 4,505.25 = 1,772.56 : x
  2. Step 2: Convert to fraction form
    3,264.64/4,505.25 = 1,772.56/x
  3. Step 3: Cross multiply
    3,264.64x = 4,505.25 × 1,772.56
  4. Step 4: Simplify right side
    3,264.64x = 7,985,825.94
  5. Step 5: Solve for x
    x = 7,985,825.94/3,264.64
  6. Step 6: Final answer
    x = 2,446.16

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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.