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Finding the Fourth Proportional to 1,181.58, 1,768.73 and 1,080.78

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Solution

The fourth proportional to 1,181.58, 1,768.73 and 1,080.78 is: 1,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.58 : 1,768.73 = 1,080.78 : x
  2. Step 2: Convert to fraction form
    1,181.58/1,768.73 = 1,080.78/x
  3. Step 3: Cross multiply
    1,181.58x = 1,768.73 × 1,080.78
  4. Step 4: Simplify right side
    1,181.58x = 1,911,602.61
  5. Step 5: Solve for x
    x = 1,911,602.61/1,181.58
  6. Step 6: Final answer
    x = 1,617.84

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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.