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Finding the Fourth Proportional to 2,684.86, 4,028.73 and 1,145.50

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Solution

The fourth proportional to 2,684.86, 4,028.73 and 1,145.50 is: 1,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.86 : 4,028.73 = 1,145.50 : x
  2. Step 2: Convert to fraction form
    2,684.86/4,028.73 = 1,145.50/x
  3. Step 3: Cross multiply
    2,684.86x = 4,028.73 × 1,145.50
  4. Step 4: Simplify right side
    2,684.86x = 4,614,910.22
  5. Step 5: Solve for x
    x = 4,614,910.22/2,684.86
  6. Step 6: Final answer
    x = 1,718.86

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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.