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Finding the Fourth Proportional to 2,065.96, 2,851.19 and 1,181.85

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Solution

The fourth proportional to 2,065.96, 2,851.19 and 1,181.85 is: 1,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.96 : 2,851.19 = 1,181.85 : x
  2. Step 2: Convert to fraction form
    2,065.96/2,851.19 = 1,181.85/x
  3. Step 3: Cross multiply
    2,065.96x = 2,851.19 × 1,181.85
  4. Step 4: Simplify right side
    2,065.96x = 3,369,678.90
  5. Step 5: Solve for x
    x = 3,369,678.90/2,065.96
  6. Step 6: Final answer
    x = 1,631.05

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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.