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Finding the Fourth Proportional to 2,025.63, 3,036.89 and 984.83

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Solution

The fourth proportional to 2,025.63, 3,036.89 and 984.83 is: 1,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.63 : 3,036.89 = 984.83 : x
  2. Step 2: Convert to fraction form
    2,025.63/3,036.89 = 984.83/x
  3. Step 3: Cross multiply
    2,025.63x = 3,036.89 × 984.83
  4. Step 4: Simplify right side
    2,025.63x = 2,990,833.28
  5. Step 5: Solve for x
    x = 2,990,833.28/2,025.63
  6. Step 6: Final answer
    x = 1,476.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.