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Finding the Fourth Proportional to 2,243.14, 3,095.14 and 1,403.57

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Solution

The fourth proportional to 2,243.14, 3,095.14 and 1,403.57 is: 1,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.14 : 3,095.14 = 1,403.57 : x
  2. Step 2: Convert to fraction form
    2,243.14/3,095.14 = 1,403.57/x
  3. Step 3: Cross multiply
    2,243.14x = 3,095.14 × 1,403.57
  4. Step 4: Simplify right side
    2,243.14x = 4,344,245.65
  5. Step 5: Solve for x
    x = 4,344,245.65/2,243.14
  6. Step 6: Final answer
    x = 1,936.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.