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Finding the Fourth Proportional to 2,751.84, 3,797.28 and 2,229.12

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Solution

The fourth proportional to 2,751.84, 3,797.28 and 2,229.12 is: 3,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.84 : 3,797.28 = 2,229.12 : x
  2. Step 2: Convert to fraction form
    2,751.84/3,797.28 = 2,229.12/x
  3. Step 3: Cross multiply
    2,751.84x = 3,797.28 × 2,229.12
  4. Step 4: Simplify right side
    2,751.84x = 8,464,592.79
  5. Step 5: Solve for x
    x = 8,464,592.79/2,751.84
  6. Step 6: Final answer
    x = 3,075.98

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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.