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Finding the Fourth Proportional to 3,057.02, 4,217.95 and 1,797.65

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Solution

The fourth proportional to 3,057.02, 4,217.95 and 1,797.65 is: 2,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.02 : 4,217.95 = 1,797.65 : x
  2. Step 2: Convert to fraction form
    3,057.02/4,217.95 = 1,797.65/x
  3. Step 3: Cross multiply
    3,057.02x = 4,217.95 × 1,797.65
  4. Step 4: Simplify right side
    3,057.02x = 7,582,397.82
  5. Step 5: Solve for x
    x = 7,582,397.82/3,057.02
  6. Step 6: Final answer
    x = 2,480.32

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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.