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Finding the Fourth Proportional to 2,220.38, 3,323.25 and 1,977.38

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Solution

The fourth proportional to 2,220.38, 3,323.25 and 1,977.38 is: 2,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.38 : 3,323.25 = 1,977.38 : x
  2. Step 2: Convert to fraction form
    2,220.38/3,323.25 = 1,977.38/x
  3. Step 3: Cross multiply
    2,220.38x = 3,323.25 × 1,977.38
  4. Step 4: Simplify right side
    2,220.38x = 6,571,328.09
  5. Step 5: Solve for x
    x = 6,571,328.09/2,220.38
  6. Step 6: Final answer
    x = 2,959.55

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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.