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Finding the Fourth Proportional to 2,037.36, 3,057.32 and 789.01

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Solution

The fourth proportional to 2,037.36, 3,057.32 and 789.01 is: 1,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.36 : 3,057.32 = 789.01 : x
  2. Step 2: Convert to fraction form
    2,037.36/3,057.32 = 789.01/x
  3. Step 3: Cross multiply
    2,037.36x = 3,057.32 × 789.01
  4. Step 4: Simplify right side
    2,037.36x = 2,412,256.05
  5. Step 5: Solve for x
    x = 2,412,256.05/2,037.36
  6. Step 6: Final answer
    x = 1,184.01

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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.