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Finding the Fourth Proportional to 2,797.62, 4,197.11 and 1,977.50

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Solution

The fourth proportional to 2,797.62, 4,197.11 and 1,977.50 is: 2,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.62 : 4,197.11 = 1,977.50 : x
  2. Step 2: Convert to fraction form
    2,797.62/4,197.11 = 1,977.50/x
  3. Step 3: Cross multiply
    2,797.62x = 4,197.11 × 1,977.50
  4. Step 4: Simplify right side
    2,797.62x = 8,299,754.15
  5. Step 5: Solve for x
    x = 8,299,754.15/2,797.62
  6. Step 6: Final answer
    x = 2,966.72

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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.