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Finding the Fourth Proportional to 2,940.38, 4,409.70 and 1,296.50

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Solution

The fourth proportional to 2,940.38, 4,409.70 and 1,296.50 is: 1,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.38 : 4,409.70 = 1,296.50 : x
  2. Step 2: Convert to fraction form
    2,940.38/4,409.70 = 1,296.50/x
  3. Step 3: Cross multiply
    2,940.38x = 4,409.70 × 1,296.50
  4. Step 4: Simplify right side
    2,940.38x = 5,717,176.05
  5. Step 5: Solve for x
    x = 5,717,176.05/2,940.38
  6. Step 6: Final answer
    x = 1,944.37

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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.