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Finding the Fourth Proportional to 2,065.58, 2,851.05 and 1,181.69

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Solution

The fourth proportional to 2,065.58, 2,851.05 and 1,181.69 is: 1,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.58 : 2,851.05 = 1,181.69 : x
  2. Step 2: Convert to fraction form
    2,065.58/2,851.05 = 1,181.69/x
  3. Step 3: Cross multiply
    2,065.58x = 2,851.05 × 1,181.69
  4. Step 4: Simplify right side
    2,065.58x = 3,369,057.27
  5. Step 5: Solve for x
    x = 3,369,057.27/2,065.58
  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.