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Finding the Fourth Proportional to 1,181.80, 1,764.17 and 1,036

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Solution

The fourth proportional to 1,181.80, 1,764.17 and 1,036 is: 1,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.80 : 1,764.17 = 1,036 : x
  2. Step 2: Convert to fraction form
    1,181.80/1,764.17 = 1,036/x
  3. Step 3: Cross multiply
    1,181.80x = 1,764.17 × 1,036
  4. Step 4: Simplify right side
    1,181.80x = 1,827,674.94
  5. Step 5: Solve for x
    x = 1,827,674.94/1,181.80
  6. Step 6: Final answer
    x = 1,546.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.