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Finding the Fourth Proportional to 2,129.74, 3,194.94 and 1,089.17

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Solution

The fourth proportional to 2,129.74, 3,194.94 and 1,089.17 is: 1,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.74 : 3,194.94 = 1,089.17 : x
  2. Step 2: Convert to fraction form
    2,129.74/3,194.94 = 1,089.17/x
  3. Step 3: Cross multiply
    2,129.74x = 3,194.94 × 1,089.17
  4. Step 4: Simplify right side
    2,129.74x = 3,479,840.79
  5. Step 5: Solve for x
    x = 3,479,840.79/2,129.74
  6. Step 6: Final answer
    x = 1,633.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.