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Finding the Fourth Proportional to 4,113.70, 6,175.17 and 1,650.26

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Solution

The fourth proportional to 4,113.70, 6,175.17 and 1,650.26 is: 2,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.70 : 6,175.17 = 1,650.26 : x
  2. Step 2: Convert to fraction form
    4,113.70/6,175.17 = 1,650.26/x
  3. Step 3: Cross multiply
    4,113.70x = 6,175.17 × 1,650.26
  4. Step 4: Simplify right side
    4,113.70x = 10,190,636.04
  5. Step 5: Solve for x
    x = 10,190,636.04/4,113.70
  6. Step 6: Final answer
    x = 2,477.24

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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.