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Finding the Fourth Proportional to 2,751.44, 3,797.32 and 2,284.88

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Solution

The fourth proportional to 2,751.44, 3,797.32 and 2,284.88 is: 3,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.44 : 3,797.32 = 2,284.88 : x
  2. Step 2: Convert to fraction form
    2,751.44/3,797.32 = 2,284.88/x
  3. Step 3: Cross multiply
    2,751.44x = 3,797.32 × 2,284.88
  4. Step 4: Simplify right side
    2,751.44x = 8,676,420.52
  5. Step 5: Solve for x
    x = 8,676,420.52/2,751.44
  6. Step 6: Final answer
    x = 3,153.41

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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.