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Finding the Fourth Proportional to 1,518.66, 2,095.74 and 855.73

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Solution

The fourth proportional to 1,518.66, 2,095.74 and 855.73 is: 1,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.66 : 2,095.74 = 855.73 : x
  2. Step 2: Convert to fraction form
    1,518.66/2,095.74 = 855.73/x
  3. Step 3: Cross multiply
    1,518.66x = 2,095.74 × 855.73
  4. Step 4: Simplify right side
    1,518.66x = 1,793,388.33
  5. Step 5: Solve for x
    x = 1,793,388.33/1,518.66
  6. Step 6: Final answer
    x = 1,180.90

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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.