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Finding the Fourth Proportional to 2,170.43, 2,995.47 and 1,425.02

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Solution

The fourth proportional to 2,170.43, 2,995.47 and 1,425.02 is: 1,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.43 : 2,995.47 = 1,425.02 : x
  2. Step 2: Convert to fraction form
    2,170.43/2,995.47 = 1,425.02/x
  3. Step 3: Cross multiply
    2,170.43x = 2,995.47 × 1,425.02
  4. Step 4: Simplify right side
    2,170.43x = 4,268,604.66
  5. Step 5: Solve for x
    x = 4,268,604.66/2,170.43
  6. Step 6: Final answer
    x = 1,966.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.