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Finding the Fourth Proportional to 2,482.05, 3,424.50 and 1,538.54

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Solution

The fourth proportional to 2,482.05, 3,424.50 and 1,538.54 is: 2,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.05 : 3,424.50 = 1,538.54 : x
  2. Step 2: Convert to fraction form
    2,482.05/3,424.50 = 1,538.54/x
  3. Step 3: Cross multiply
    2,482.05x = 3,424.50 × 1,538.54
  4. Step 4: Simplify right side
    2,482.05x = 5,268,713.11
  5. Step 5: Solve for x
    x = 5,268,713.11/2,482.05
  6. Step 6: Final answer
    x = 2,122.73

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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.