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Finding the Fourth Proportional to 2,570.68, 3,858.44 and 1,338.97

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Solution

The fourth proportional to 2,570.68, 3,858.44 and 1,338.97 is: 2,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.68 : 3,858.44 = 1,338.97 : x
  2. Step 2: Convert to fraction form
    2,570.68/3,858.44 = 1,338.97/x
  3. Step 3: Cross multiply
    2,570.68x = 3,858.44 × 1,338.97
  4. Step 4: Simplify right side
    2,570.68x = 5,166,335.41
  5. Step 5: Solve for x
    x = 5,166,335.41/2,570.68
  6. Step 6: Final answer
    x = 2,009.72

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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.