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Finding the Fourth Proportional to 2,804.62, 4,201.45 and 1,706.26

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Solution

The fourth proportional to 2,804.62, 4,201.45 and 1,706.26 is: 2,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.62 : 4,201.45 = 1,706.26 : x
  2. Step 2: Convert to fraction form
    2,804.62/4,201.45 = 1,706.26/x
  3. Step 3: Cross multiply
    2,804.62x = 4,201.45 × 1,706.26
  4. Step 4: Simplify right side
    2,804.62x = 7,168,766.08
  5. Step 5: Solve for x
    x = 7,168,766.08/2,804.62
  6. Step 6: Final answer
    x = 2,556.06

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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.