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Finding the Fourth Proportional to 2,796.30, 4,194.45 and 1,856.70

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Solution

The fourth proportional to 2,796.30, 4,194.45 and 1,856.70 is: 2,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.30 : 4,194.45 = 1,856.70 : x
  2. Step 2: Convert to fraction form
    2,796.30/4,194.45 = 1,856.70/x
  3. Step 3: Cross multiply
    2,796.30x = 4,194.45 × 1,856.70
  4. Step 4: Simplify right side
    2,796.30x = 7,787,835.32
  5. Step 5: Solve for x
    x = 7,787,835.32/2,796.30
  6. Step 6: Final answer
    x = 2,785.05

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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.