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Finding the Fourth Proportional to 2,681.54, 4,023.41 and 1,221.38

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Solution

The fourth proportional to 2,681.54, 4,023.41 and 1,221.38 is: 1,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.54 : 4,023.41 = 1,221.38 : x
  2. Step 2: Convert to fraction form
    2,681.54/4,023.41 = 1,221.38/x
  3. Step 3: Cross multiply
    2,681.54x = 4,023.41 × 1,221.38
  4. Step 4: Simplify right side
    2,681.54x = 4,914,101.37
  5. Step 5: Solve for x
    x = 4,914,101.37/2,681.54
  6. Step 6: Final answer
    x = 1,832.57

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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.