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Finding the Fourth Proportional to 2,025.36, 3,037.98 and 792.42

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Solution

The fourth proportional to 2,025.36, 3,037.98 and 792.42 is: 1,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.36 : 3,037.98 = 792.42 : x
  2. Step 2: Convert to fraction form
    2,025.36/3,037.98 = 792.42/x
  3. Step 3: Cross multiply
    2,025.36x = 3,037.98 × 792.42
  4. Step 4: Simplify right side
    2,025.36x = 2,407,356.11
  5. Step 5: Solve for x
    x = 2,407,356.11/2,025.36
  6. Step 6: Final answer
    x = 1,188.61

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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.