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Finding the Fourth Proportional to 2,290.68, 3,161.43 and 1,508.22

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Solution

The fourth proportional to 2,290.68, 3,161.43 and 1,508.22 is: 2,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.68 : 3,161.43 = 1,508.22 : x
  2. Step 2: Convert to fraction form
    2,290.68/3,161.43 = 1,508.22/x
  3. Step 3: Cross multiply
    2,290.68x = 3,161.43 × 1,508.22
  4. Step 4: Simplify right side
    2,290.68x = 4,768,131.95
  5. Step 5: Solve for x
    x = 4,768,131.95/2,290.68
  6. Step 6: Final answer
    x = 2,081.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.