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Finding the Fourth Proportional to 2,074.60, 2,861.94 and 1,327.96

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Solution

The fourth proportional to 2,074.60, 2,861.94 and 1,327.96 is: 1,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.60 : 2,861.94 = 1,327.96 : x
  2. Step 2: Convert to fraction form
    2,074.60/2,861.94 = 1,327.96/x
  3. Step 3: Cross multiply
    2,074.60x = 2,861.94 × 1,327.96
  4. Step 4: Simplify right side
    2,074.60x = 3,800,541.84
  5. Step 5: Solve for x
    x = 3,800,541.84/2,074.60
  6. Step 6: Final answer
    x = 1,831.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.