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Finding the Fourth Proportional to 1,730.44, 2,594.22 and 1,181.26

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Solution

The fourth proportional to 1,730.44, 2,594.22 and 1,181.26 is: 1,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.44 : 2,594.22 = 1,181.26 : x
  2. Step 2: Convert to fraction form
    1,730.44/2,594.22 = 1,181.26/x
  3. Step 3: Cross multiply
    1,730.44x = 2,594.22 × 1,181.26
  4. Step 4: Simplify right side
    1,730.44x = 3,064,448.32
  5. Step 5: Solve for x
    x = 3,064,448.32/1,730.44
  6. Step 6: Final answer
    x = 1,770.91

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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.