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Finding the Fourth Proportional to 4,128.26, 6,192.26 and 1,166.90

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Solution

The fourth proportional to 4,128.26, 6,192.26 and 1,166.90 is: 1,750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.26 : 6,192.26 = 1,166.90 : x
  2. Step 2: Convert to fraction form
    4,128.26/6,192.26 = 1,166.90/x
  3. Step 3: Cross multiply
    4,128.26x = 6,192.26 × 1,166.90
  4. Step 4: Simplify right side
    4,128.26x = 7,225,748.19
  5. Step 5: Solve for x
    x = 7,225,748.19/4,128.26
  6. Step 6: Final answer
    x = 1,750.31

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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.