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Finding the Fourth Proportional to 2,690.86, 4,034.93 and 1,231.04

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Solution

The fourth proportional to 2,690.86, 4,034.93 and 1,231.04 is: 1,845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.86 : 4,034.93 = 1,231.04 : x
  2. Step 2: Convert to fraction form
    2,690.86/4,034.93 = 1,231.04/x
  3. Step 3: Cross multiply
    2,690.86x = 4,034.93 × 1,231.04
  4. Step 4: Simplify right side
    2,690.86x = 4,967,160.23
  5. Step 5: Solve for x
    x = 4,967,160.23/2,690.86
  6. Step 6: Final answer
    x = 1,845.94

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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.