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Finding the Fourth Proportional to 2,683.96, 4,025.44 and 834.84

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Solution

The fourth proportional to 2,683.96, 4,025.44 and 834.84 is: 1,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.96 : 4,025.44 = 834.84 : x
  2. Step 2: Convert to fraction form
    2,683.96/4,025.44 = 834.84/x
  3. Step 3: Cross multiply
    2,683.96x = 4,025.44 × 834.84
  4. Step 4: Simplify right side
    2,683.96x = 3,360,598.33
  5. Step 5: Solve for x
    x = 3,360,598.33/2,683.96
  6. Step 6: Final answer
    x = 1,252.10

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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.