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Finding the Fourth Proportional to 1,683.82, 2,523.87 and 1,134.64

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Solution

The fourth proportional to 1,683.82, 2,523.87 and 1,134.64 is: 1,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.82 : 2,523.87 = 1,134.64 : x
  2. Step 2: Convert to fraction form
    1,683.82/2,523.87 = 1,134.64/x
  3. Step 3: Cross multiply
    1,683.82x = 2,523.87 × 1,134.64
  4. Step 4: Simplify right side
    1,683.82x = 2,863,683.86
  5. Step 5: Solve for x
    x = 2,863,683.86/1,683.82
  6. Step 6: Final answer
    x = 1,700.71

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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.