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Finding the Fourth Proportional to 1,841.26, 2,762.88 and 1,431.22

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Solution

The fourth proportional to 1,841.26, 2,762.88 and 1,431.22 is: 2,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.26 : 2,762.88 = 1,431.22 : x
  2. Step 2: Convert to fraction form
    1,841.26/2,762.88 = 1,431.22/x
  3. Step 3: Cross multiply
    1,841.26x = 2,762.88 × 1,431.22
  4. Step 4: Simplify right side
    1,841.26x = 3,954,289.11
  5. Step 5: Solve for x
    x = 3,954,289.11/1,841.26
  6. Step 6: Final answer
    x = 2,147.60

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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.