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Finding the Fourth Proportional to 4,184.26, 6,279.26 and 1,448.26

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Solution

The fourth proportional to 4,184.26, 6,279.26 and 1,448.26 is: 2,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.26 : 6,279.26 = 1,448.26 : x
  2. Step 2: Convert to fraction form
    4,184.26/6,279.26 = 1,448.26/x
  3. Step 3: Cross multiply
    4,184.26x = 6,279.26 × 1,448.26
  4. Step 4: Simplify right side
    4,184.26x = 9,094,001.09
  5. Step 5: Solve for x
    x = 9,094,001.09/4,184.26
  6. Step 6: Final answer
    x = 2,173.38

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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.