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Finding the Fourth Proportional to 2,532.50, 3,793.80 and 1,296.26

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Solution

The fourth proportional to 2,532.50, 3,793.80 and 1,296.26 is: 1,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.50 : 3,793.80 = 1,296.26 : x
  2. Step 2: Convert to fraction form
    2,532.50/3,793.80 = 1,296.26/x
  3. Step 3: Cross multiply
    2,532.50x = 3,793.80 × 1,296.26
  4. Step 4: Simplify right side
    2,532.50x = 4,917,751.19
  5. Step 5: Solve for x
    x = 4,917,751.19/2,532.50
  6. Step 6: Final answer
    x = 1,941.86

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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.