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Finding the Fourth Proportional to 2,039.83, 3,057.90 and 741.00

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Solution

The fourth proportional to 2,039.83, 3,057.90 and 741.00 is: 1,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.83 : 3,057.90 = 741.00 : x
  2. Step 2: Convert to fraction form
    2,039.83/3,057.90 = 741.00/x
  3. Step 3: Cross multiply
    2,039.83x = 3,057.90 × 741.00
  4. Step 4: Simplify right side
    2,039.83x = 2,265,899.56
  5. Step 5: Solve for x
    x = 2,265,899.56/2,039.83
  6. Step 6: Final answer
    x = 1,110.83

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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.