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Finding the Fourth Proportional to 1,452.06, 2,003.82 and 854.94

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Solution

The fourth proportional to 1,452.06, 2,003.82 and 854.94 is: 1,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.06 : 2,003.82 = 854.94 : x
  2. Step 2: Convert to fraction form
    1,452.06/2,003.82 = 854.94/x
  3. Step 3: Cross multiply
    1,452.06x = 2,003.82 × 854.94
  4. Step 4: Simplify right side
    1,452.06x = 1,713,145.87
  5. Step 5: Solve for x
    x = 1,713,145.87/1,452.06
  6. Step 6: Final answer
    x = 1,179.80

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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.