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Finding the Fourth Proportional to 2,093.93, 3,141.91 and 923.79

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Solution

The fourth proportional to 2,093.93, 3,141.91 and 923.79 is: 1,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.93 : 3,141.91 = 923.79 : x
  2. Step 2: Convert to fraction form
    2,093.93/3,141.91 = 923.79/x
  3. Step 3: Cross multiply
    2,093.93x = 3,141.91 × 923.79
  4. Step 4: Simplify right side
    2,093.93x = 2,902,462.90
  5. Step 5: Solve for x
    x = 2,902,462.90/2,093.93
  6. Step 6: Final answer
    x = 1,386.13

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Why These Related Problems?

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