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Finding the Fourth Proportional to 2,025.61, 3,038.87 and 793.14

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Solution

The fourth proportional to 2,025.61, 3,038.87 and 793.14 is: 1,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.61 : 3,038.87 = 793.14 : x
  2. Step 2: Convert to fraction form
    2,025.61/3,038.87 = 793.14/x
  3. Step 3: Cross multiply
    2,025.61x = 3,038.87 × 793.14
  4. Step 4: Simplify right side
    2,025.61x = 2,410,249.35
  5. Step 5: Solve for x
    x = 2,410,249.35/2,025.61
  6. Step 6: Final answer
    x = 1,189.89

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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.