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Finding the Fourth Proportional to 2,290.54, 3,161.14 and 1,296

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Solution

The fourth proportional to 2,290.54, 3,161.14 and 1,296 is: 1,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.54 : 3,161.14 = 1,296 : x
  2. Step 2: Convert to fraction form
    2,290.54/3,161.14 = 1,296/x
  3. Step 3: Cross multiply
    2,290.54x = 3,161.14 × 1,296
  4. Step 4: Simplify right side
    2,290.54x = 4,096,837.44
  5. Step 5: Solve for x
    x = 4,096,837.44/2,290.54
  6. Step 6: Final answer
    x = 1,788.59

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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.