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Finding the Fourth Proportional to 3,122.18, 4,683.27 and 813.50

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Solution

The fourth proportional to 3,122.18, 4,683.27 and 813.50 is: 1,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.18 : 4,683.27 = 813.50 : x
  2. Step 2: Convert to fraction form
    3,122.18/4,683.27 = 813.50/x
  3. Step 3: Cross multiply
    3,122.18x = 4,683.27 × 813.50
  4. Step 4: Simplify right side
    3,122.18x = 3,809,840.15
  5. Step 5: Solve for x
    x = 3,809,840.15/3,122.18
  6. Step 6: Final answer
    x = 1,220.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.