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Finding the Fourth Proportional to 1,338.72, 1,848.51 and 1,198.59

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Solution

The fourth proportional to 1,338.72, 1,848.51 and 1,198.59 is: 1,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.72 : 1,848.51 = 1,198.59 : x
  2. Step 2: Convert to fraction form
    1,338.72/1,848.51 = 1,198.59/x
  3. Step 3: Cross multiply
    1,338.72x = 1,848.51 × 1,198.59
  4. Step 4: Simplify right side
    1,338.72x = 2,215,605.60
  5. Step 5: Solve for x
    x = 2,215,605.60/1,338.72
  6. Step 6: Final answer
    x = 1,655.02

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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.