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Finding the Fourth Proportional to 2,797.14, 4,189.14 and 1,643.70

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Solution

The fourth proportional to 2,797.14, 4,189.14 and 1,643.70 is: 2,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.14 : 4,189.14 = 1,643.70 : x
  2. Step 2: Convert to fraction form
    2,797.14/4,189.14 = 1,643.70/x
  3. Step 3: Cross multiply
    2,797.14x = 4,189.14 × 1,643.70
  4. Step 4: Simplify right side
    2,797.14x = 6,885,689.42
  5. Step 5: Solve for x
    x = 6,885,689.42/2,797.14
  6. Step 6: Final answer
    x = 2,461.69

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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.