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Finding the Fourth Proportional to 2,014.82, 3,033.40 and 1,842.62

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Solution

The fourth proportional to 2,014.82, 3,033.40 and 1,842.62 is: 2,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.82 : 3,033.40 = 1,842.62 : x
  2. Step 2: Convert to fraction form
    2,014.82/3,033.40 = 1,842.62/x
  3. Step 3: Cross multiply
    2,014.82x = 3,033.40 × 1,842.62
  4. Step 4: Simplify right side
    2,014.82x = 5,589,403.51
  5. Step 5: Solve for x
    x = 5,589,403.51/2,014.82
  6. Step 6: Final answer
    x = 2,774.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.