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Finding the Fourth Proportional to 2,129.98, 2,939.34 and 1,185.82

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Solution

The fourth proportional to 2,129.98, 2,939.34 and 1,185.82 is: 1,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.98 : 2,939.34 = 1,185.82 : x
  2. Step 2: Convert to fraction form
    2,129.98/2,939.34 = 1,185.82/x
  3. Step 3: Cross multiply
    2,129.98x = 2,939.34 × 1,185.82
  4. Step 4: Simplify right side
    2,129.98x = 3,485,528.16
  5. Step 5: Solve for x
    x = 3,485,528.16/2,129.98
  6. Step 6: Final answer
    x = 1,636.41

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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.