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Finding the Fourth Proportional to 2,396.96, 3,593.26 and 1,300.02

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Solution

The fourth proportional to 2,396.96, 3,593.26 and 1,300.02 is: 1,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.96 : 3,593.26 = 1,300.02 : x
  2. Step 2: Convert to fraction form
    2,396.96/3,593.26 = 1,300.02/x
  3. Step 3: Cross multiply
    2,396.96x = 3,593.26 × 1,300.02
  4. Step 4: Simplify right side
    2,396.96x = 4,671,309.87
  5. Step 5: Solve for x
    x = 4,671,309.87/2,396.96
  6. Step 6: Final answer
    x = 1,948.85

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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.