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Finding the Fourth Proportional to 1,683.14, 2,522.52 and 860.72

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Solution

The fourth proportional to 1,683.14, 2,522.52 and 860.72 is: 1,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.14 : 2,522.52 = 860.72 : x
  2. Step 2: Convert to fraction form
    1,683.14/2,522.52 = 860.72/x
  3. Step 3: Cross multiply
    1,683.14x = 2,522.52 × 860.72
  4. Step 4: Simplify right side
    1,683.14x = 2,171,183.41
  5. Step 5: Solve for x
    x = 2,171,183.41/1,683.14
  6. Step 6: Final answer
    x = 1,289.96

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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.