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Finding the Fourth Proportional to 2,797.56, 4,193.27 and 1,153.22

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Solution

The fourth proportional to 2,797.56, 4,193.27 and 1,153.22 is: 1,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.56 : 4,193.27 = 1,153.22 : x
  2. Step 2: Convert to fraction form
    2,797.56/4,193.27 = 1,153.22/x
  3. Step 3: Cross multiply
    2,797.56x = 4,193.27 × 1,153.22
  4. Step 4: Simplify right side
    2,797.56x = 4,835,736.10
  5. Step 5: Solve for x
    x = 4,835,736.10/2,797.56
  6. Step 6: Final answer
    x = 1,728.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.