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Finding the Fourth Proportional to 3,133.17, 4,699.90 and 1,745.46

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Solution

The fourth proportional to 3,133.17, 4,699.90 and 1,745.46 is: 2,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.17 : 4,699.90 = 1,745.46 : x
  2. Step 2: Convert to fraction form
    3,133.17/4,699.90 = 1,745.46/x
  3. Step 3: Cross multiply
    3,133.17x = 4,699.90 × 1,745.46
  4. Step 4: Simplify right side
    3,133.17x = 8,203,489.64
  5. Step 5: Solve for x
    x = 8,203,489.64/3,133.17
  6. Step 6: Final answer
    x = 2,618.27

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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.