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Finding the Fourth Proportional to 2,014.11, 3,019.93 and 1,842.22

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Solution

The fourth proportional to 2,014.11, 3,019.93 and 1,842.22 is: 2,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.11 : 3,019.93 = 1,842.22 : x
  2. Step 2: Convert to fraction form
    2,014.11/3,019.93 = 1,842.22/x
  3. Step 3: Cross multiply
    2,014.11x = 3,019.93 × 1,842.22
  4. Step 4: Simplify right side
    2,014.11x = 5,563,366.23
  5. Step 5: Solve for x
    x = 5,563,366.23/2,014.11
  6. Step 6: Final answer
    x = 2,762.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.