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Finding the Fourth Proportional to 2,130.79, 2,940.38 and 1,234.38

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Solution

The fourth proportional to 2,130.79, 2,940.38 and 1,234.38 is: 1,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.79 : 2,940.38 = 1,234.38 : x
  2. Step 2: Convert to fraction form
    2,130.79/2,940.38 = 1,234.38/x
  3. Step 3: Cross multiply
    2,130.79x = 2,940.38 × 1,234.38
  4. Step 4: Simplify right side
    2,130.79x = 3,629,546.26
  5. Step 5: Solve for x
    x = 3,629,546.26/2,130.79
  6. Step 6: Final answer
    x = 1,703.38

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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.