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Finding the Fourth Proportional to 2,025.75, 3,036.66 and 984.54

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Solution

The fourth proportional to 2,025.75, 3,036.66 and 984.54 is: 1,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.75 : 3,036.66 = 984.54 : x
  2. Step 2: Convert to fraction form
    2,025.75/3,036.66 = 984.54/x
  3. Step 3: Cross multiply
    2,025.75x = 3,036.66 × 984.54
  4. Step 4: Simplify right side
    2,025.75x = 2,989,713.24
  5. Step 5: Solve for x
    x = 2,989,713.24/2,025.75
  6. Step 6: Final answer
    x = 1,475.85

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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.