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Finding the Fourth Proportional to 2,804.26, 4,200.72 and 1,415.66

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Solution

The fourth proportional to 2,804.26, 4,200.72 and 1,415.66 is: 2,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.26 : 4,200.72 = 1,415.66 : x
  2. Step 2: Convert to fraction form
    2,804.26/4,200.72 = 1,415.66/x
  3. Step 3: Cross multiply
    2,804.26x = 4,200.72 × 1,415.66
  4. Step 4: Simplify right side
    2,804.26x = 5,946,791.28
  5. Step 5: Solve for x
    x = 5,946,791.28/2,804.26
  6. Step 6: Final answer
    x = 2,120.63

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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.