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Finding the Fourth Proportional to 3,264.75, 4,505.31 and 1,772.67

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Solution

The fourth proportional to 3,264.75, 4,505.31 and 1,772.67 is: 2,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.75 : 4,505.31 = 1,772.67 : x
  2. Step 2: Convert to fraction form
    3,264.75/4,505.31 = 1,772.67/x
  3. Step 3: Cross multiply
    3,264.75x = 4,505.31 × 1,772.67
  4. Step 4: Simplify right side
    3,264.75x = 7,986,427.88
  5. Step 5: Solve for x
    x = 7,986,427.88/3,264.75
  6. Step 6: Final answer
    x = 2,446.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.