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Finding the Fourth Proportional to 1,796.46, 2,700.84 and 1,661.12

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Solution

The fourth proportional to 1,796.46, 2,700.84 and 1,661.12 is: 2,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.46 : 2,700.84 = 1,661.12 : x
  2. Step 2: Convert to fraction form
    1,796.46/2,700.84 = 1,661.12/x
  3. Step 3: Cross multiply
    1,796.46x = 2,700.84 × 1,661.12
  4. Step 4: Simplify right side
    1,796.46x = 4,486,419.34
  5. Step 5: Solve for x
    x = 4,486,419.34/1,796.46
  6. Step 6: Final answer
    x = 2,497.37

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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.