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Finding the Fourth Proportional to 1,682.69, 2,524.86 and 758.93

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Solution

The fourth proportional to 1,682.69, 2,524.86 and 758.93 is: 1,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.69 : 2,524.86 = 758.93 : x
  2. Step 2: Convert to fraction form
    1,682.69/2,524.86 = 758.93/x
  3. Step 3: Cross multiply
    1,682.69x = 2,524.86 × 758.93
  4. Step 4: Simplify right side
    1,682.69x = 1,916,179.38
  5. Step 5: Solve for x
    x = 1,916,179.38/1,682.69
  6. Step 6: Final answer
    x = 1,138.76

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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.