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Finding the Fourth Proportional to 2,132.06, 2,942.25 and 1,235.97

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Solution

The fourth proportional to 2,132.06, 2,942.25 and 1,235.97 is: 1,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.06 : 2,942.25 = 1,235.97 : x
  2. Step 2: Convert to fraction form
    2,132.06/2,942.25 = 1,235.97/x
  3. Step 3: Cross multiply
    2,132.06x = 2,942.25 × 1,235.97
  4. Step 4: Simplify right side
    2,132.06x = 3,636,543.77
  5. Step 5: Solve for x
    x = 3,636,543.77/2,132.06
  6. Step 6: Final answer
    x = 1,705.65

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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.