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Finding the Fourth Proportional to 2,025.04, 3,037.74 and 792.54

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Solution

The fourth proportional to 2,025.04, 3,037.74 and 792.54 is: 1,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.04 : 3,037.74 = 792.54 : x
  2. Step 2: Convert to fraction form
    2,025.04/3,037.74 = 792.54/x
  3. Step 3: Cross multiply
    2,025.04x = 3,037.74 × 792.54
  4. Step 4: Simplify right side
    2,025.04x = 2,407,530.46
  5. Step 5: Solve for x
    x = 2,407,530.46/2,025.04
  6. Step 6: Final answer
    x = 1,188.88

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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.