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Finding the Fourth Proportional to 2,369.39, 3,552.57 and 983.69

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Solution

The fourth proportional to 2,369.39, 3,552.57 and 983.69 is: 1,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.39 : 3,552.57 = 983.69 : x
  2. Step 2: Convert to fraction form
    2,369.39/3,552.57 = 983.69/x
  3. Step 3: Cross multiply
    2,369.39x = 3,552.57 × 983.69
  4. Step 4: Simplify right side
    2,369.39x = 3,494,614.53
  5. Step 5: Solve for x
    x = 3,494,614.53/2,369.39
  6. Step 6: Final answer
    x = 1,474.90

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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.