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Finding the Fourth Proportional to 2,804.85, 4,208.42 and 1,161.09

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Solution

The fourth proportional to 2,804.85, 4,208.42 and 1,161.09 is: 1,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.85 : 4,208.42 = 1,161.09 : x
  2. Step 2: Convert to fraction form
    2,804.85/4,208.42 = 1,161.09/x
  3. Step 3: Cross multiply
    2,804.85x = 4,208.42 × 1,161.09
  4. Step 4: Simplify right side
    2,804.85x = 4,886,357.28
  5. Step 5: Solve for x
    x = 4,886,357.28/2,804.85
  6. Step 6: Final answer
    x = 1,742.11

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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.