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Finding the Fourth Proportional to 3,057.54, 4,219.17 and 1,798.64

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Solution

The fourth proportional to 3,057.54, 4,219.17 and 1,798.64 is: 2,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.54 : 4,219.17 = 1,798.64 : x
  2. Step 2: Convert to fraction form
    3,057.54/4,219.17 = 1,798.64/x
  3. Step 3: Cross multiply
    3,057.54x = 4,219.17 × 1,798.64
  4. Step 4: Simplify right side
    3,057.54x = 7,588,767.93
  5. Step 5: Solve for x
    x = 7,588,767.93/3,057.54
  6. Step 6: Final answer
    x = 2,481.98

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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.