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Finding the Fourth Proportional to 2,395.68, 3,593.44 and 935.84

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Solution

The fourth proportional to 2,395.68, 3,593.44 and 935.84 is: 1,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.68 : 3,593.44 = 935.84 : x
  2. Step 2: Convert to fraction form
    2,395.68/3,593.44 = 935.84/x
  3. Step 3: Cross multiply
    2,395.68x = 3,593.44 × 935.84
  4. Step 4: Simplify right side
    2,395.68x = 3,362,884.89
  5. Step 5: Solve for x
    x = 3,362,884.89/2,395.68
  6. Step 6: Final answer
    x = 1,403.73

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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.