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Finding the Fourth Proportional to 2,846.92, 3,927.19 and 2,316.37

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Solution

The fourth proportional to 2,846.92, 3,927.19 and 2,316.37 is: 3,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.92 : 3,927.19 = 2,316.37 : x
  2. Step 2: Convert to fraction form
    2,846.92/3,927.19 = 2,316.37/x
  3. Step 3: Cross multiply
    2,846.92x = 3,927.19 × 2,316.37
  4. Step 4: Simplify right side
    2,846.92x = 9,096,825.10
  5. Step 5: Solve for x
    x = 9,096,825.10/2,846.92
  6. Step 6: Final answer
    x = 3,195.32

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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.