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Finding the Fourth Proportional to 2,427, 3,634.76 and 1,546.36

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Solution

The fourth proportional to 2,427, 3,634.76 and 1,546.36 is: 2,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427 : 3,634.76 = 1,546.36 : x
  2. Step 2: Convert to fraction form
    2,427/3,634.76 = 1,546.36/x
  3. Step 3: Cross multiply
    2,427x = 3,634.76 × 1,546.36
  4. Step 4: Simplify right side
    2,427x = 5,620,647.47
  5. Step 5: Solve for x
    x = 5,620,647.47/2,427
  6. Step 6: Final answer
    x = 2,315.88

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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.