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Finding the Fourth Proportional to 2,431.86, 3,356.00 and 1,369.71

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Solution

The fourth proportional to 2,431.86, 3,356.00 and 1,369.71 is: 1,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.86 : 3,356.00 = 1,369.71 : x
  2. Step 2: Convert to fraction form
    2,431.86/3,356.00 = 1,369.71/x
  3. Step 3: Cross multiply
    2,431.86x = 3,356.00 × 1,369.71
  4. Step 4: Simplify right side
    2,431.86x = 4,596,745.05
  5. Step 5: Solve for x
    x = 4,596,745.05/2,431.86
  6. Step 6: Final answer
    x = 1,890.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.