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Finding the Fourth Proportional to 2,683.62, 4,025.97 and 928.53

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Solution

The fourth proportional to 2,683.62, 4,025.97 and 928.53 is: 1,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.62 : 4,025.97 = 928.53 : x
  2. Step 2: Convert to fraction form
    2,683.62/4,025.97 = 928.53/x
  3. Step 3: Cross multiply
    2,683.62x = 4,025.97 × 928.53
  4. Step 4: Simplify right side
    2,683.62x = 3,738,233.92
  5. Step 5: Solve for x
    x = 3,738,233.92/2,683.62
  6. Step 6: Final answer
    x = 1,392.98

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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.