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Finding the Fourth Proportional to 2,350.52, 3,243.57 and 1,302.50

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Solution

The fourth proportional to 2,350.52, 3,243.57 and 1,302.50 is: 1,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.52 : 3,243.57 = 1,302.50 : x
  2. Step 2: Convert to fraction form
    2,350.52/3,243.57 = 1,302.50/x
  3. Step 3: Cross multiply
    2,350.52x = 3,243.57 × 1,302.50
  4. Step 4: Simplify right side
    2,350.52x = 4,224,749.93
  5. Step 5: Solve for x
    x = 4,224,749.93/2,350.52
  6. Step 6: Final answer
    x = 1,797.37

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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.