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Finding the Fourth Proportional to 2,065.32, 2,850.14 and 1,181.08

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Solution

The fourth proportional to 2,065.32, 2,850.14 and 1,181.08 is: 1,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.32 : 2,850.14 = 1,181.08 : x
  2. Step 2: Convert to fraction form
    2,065.32/2,850.14 = 1,181.08/x
  3. Step 3: Cross multiply
    2,065.32x = 2,850.14 × 1,181.08
  4. Step 4: Simplify right side
    2,065.32x = 3,366,243.35
  5. Step 5: Solve for x
    x = 3,366,243.35/2,065.32
  6. Step 6: Final answer
    x = 1,629.89

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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.