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Finding the Fourth Proportional to 2,151.78, 2,969.43 and 1,220.22

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Solution

The fourth proportional to 2,151.78, 2,969.43 and 1,220.22 is: 1,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.78 : 2,969.43 = 1,220.22 : x
  2. Step 2: Convert to fraction form
    2,151.78/2,969.43 = 1,220.22/x
  3. Step 3: Cross multiply
    2,151.78x = 2,969.43 × 1,220.22
  4. Step 4: Simplify right side
    2,151.78x = 3,623,357.87
  5. Step 5: Solve for x
    x = 3,623,357.87/2,151.78
  6. Step 6: Final answer
    x = 1,683.89

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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.