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Finding the Fourth Proportional to 2,174.37, 2,997.71 and 1,700.43

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Solution

The fourth proportional to 2,174.37, 2,997.71 and 1,700.43 is: 2,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.37 : 2,997.71 = 1,700.43 : x
  2. Step 2: Convert to fraction form
    2,174.37/2,997.71 = 1,700.43/x
  3. Step 3: Cross multiply
    2,174.37x = 2,997.71 × 1,700.43
  4. Step 4: Simplify right side
    2,174.37x = 5,097,387.51
  5. Step 5: Solve for x
    x = 5,097,387.51/2,174.37
  6. Step 6: Final answer
    x = 2,344.31

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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.