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Finding the Fourth Proportional to 2,396.63, 3,596.43 and 937.01

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Solution

The fourth proportional to 2,396.63, 3,596.43 and 937.01 is: 1,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.63 : 3,596.43 = 937.01 : x
  2. Step 2: Convert to fraction form
    2,396.63/3,596.43 = 937.01/x
  3. Step 3: Cross multiply
    2,396.63x = 3,596.43 × 937.01
  4. Step 4: Simplify right side
    2,396.63x = 3,369,890.87
  5. Step 5: Solve for x
    x = 3,369,890.87/2,396.63
  6. Step 6: Final answer
    x = 1,406.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.