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Finding the Fourth Proportional to 2,290.98, 3,161.12 and 1,295.90

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Solution

The fourth proportional to 2,290.98, 3,161.12 and 1,295.90 is: 1,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.98 : 3,161.12 = 1,295.90 : x
  2. Step 2: Convert to fraction form
    2,290.98/3,161.12 = 1,295.90/x
  3. Step 3: Cross multiply
    2,290.98x = 3,161.12 × 1,295.90
  4. Step 4: Simplify right side
    2,290.98x = 4,096,473.12
  5. Step 5: Solve for x
    x = 4,096,473.12/2,290.98
  6. Step 6: Final answer
    x = 1,788.09

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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.