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Finding the Fourth Proportional to 2,091.14, 3,135.48 and 792.70

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Solution

The fourth proportional to 2,091.14, 3,135.48 and 792.70 is: 1,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.14 : 3,135.48 = 792.70 : x
  2. Step 2: Convert to fraction form
    2,091.14/3,135.48 = 792.70/x
  3. Step 3: Cross multiply
    2,091.14x = 3,135.48 × 792.70
  4. Step 4: Simplify right side
    2,091.14x = 2,485,495.00
  5. Step 5: Solve for x
    x = 2,485,495.00/2,091.14
  6. Step 6: Final answer
    x = 1,188.58

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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.