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Finding the Fourth Proportional to 2,290.49, 3,435.74 and 1,179.69

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Solution

The fourth proportional to 2,290.49, 3,435.74 and 1,179.69 is: 1,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.49 : 3,435.74 = 1,179.69 : x
  2. Step 2: Convert to fraction form
    2,290.49/3,435.74 = 1,179.69/x
  3. Step 3: Cross multiply
    2,290.49x = 3,435.74 × 1,179.69
  4. Step 4: Simplify right side
    2,290.49x = 4,053,108.12
  5. Step 5: Solve for x
    x = 4,053,108.12/2,290.49
  6. Step 6: Final answer
    x = 1,769.54

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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.