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Finding the Fourth Proportional to 3,122.74, 4,683.90 and 1,480.60

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Solution

The fourth proportional to 3,122.74, 4,683.90 and 1,480.60 is: 2,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.74 : 4,683.90 = 1,480.60 : x
  2. Step 2: Convert to fraction form
    3,122.74/4,683.90 = 1,480.60/x
  3. Step 3: Cross multiply
    3,122.74x = 4,683.90 × 1,480.60
  4. Step 4: Simplify right side
    3,122.74x = 6,934,982.34
  5. Step 5: Solve for x
    x = 6,934,982.34/3,122.74
  6. Step 6: Final answer
    x = 2,220.80

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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.