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Finding the Fourth Proportional to 2,858.81, 4,290.65 and 2,039.09

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Solution

The fourth proportional to 2,858.81, 4,290.65 and 2,039.09 is: 3,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.81 : 4,290.65 = 2,039.09 : x
  2. Step 2: Convert to fraction form
    2,858.81/4,290.65 = 2,039.09/x
  3. Step 3: Cross multiply
    2,858.81x = 4,290.65 × 2,039.09
  4. Step 4: Simplify right side
    2,858.81x = 8,749,021.51
  5. Step 5: Solve for x
    x = 8,749,021.51/2,858.81
  6. Step 6: Final answer
    x = 3,060.37

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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.