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Finding the Fourth Proportional to 2,494.06, 3,741.06 and 1,108.01

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Solution

The fourth proportional to 2,494.06, 3,741.06 and 1,108.01 is: 1,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.06 : 3,741.06 = 1,108.01 : x
  2. Step 2: Convert to fraction form
    2,494.06/3,741.06 = 1,108.01/x
  3. Step 3: Cross multiply
    2,494.06x = 3,741.06 × 1,108.01
  4. Step 4: Simplify right side
    2,494.06x = 4,145,131.89
  5. Step 5: Solve for x
    x = 4,145,131.89/2,494.06
  6. Step 6: Final answer
    x = 1,662.00

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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.