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Finding the Fourth Proportional to 2,223.83, 3,069.02 and 1,327.97

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Solution

The fourth proportional to 2,223.83, 3,069.02 and 1,327.97 is: 1,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.83 : 3,069.02 = 1,327.97 : x
  2. Step 2: Convert to fraction form
    2,223.83/3,069.02 = 1,327.97/x
  3. Step 3: Cross multiply
    2,223.83x = 3,069.02 × 1,327.97
  4. Step 4: Simplify right side
    2,223.83x = 4,075,566.49
  5. Step 5: Solve for x
    x = 4,075,566.49/2,223.83
  6. Step 6: Final answer
    x = 1,832.68

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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.