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Finding the Fourth Proportional to 2,151.75, 2,969.46 and 1,220.25

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Solution

The fourth proportional to 2,151.75, 2,969.46 and 1,220.25 is: 1,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.75 : 2,969.46 = 1,220.25 : x
  2. Step 2: Convert to fraction form
    2,151.75/2,969.46 = 1,220.25/x
  3. Step 3: Cross multiply
    2,151.75x = 2,969.46 × 1,220.25
  4. Step 4: Simplify right side
    2,151.75x = 3,623,483.57
  5. Step 5: Solve for x
    x = 3,623,483.57/2,151.75
  6. Step 6: Final answer
    x = 1,683.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.