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Finding the Fourth Proportional to 1,338.12, 1,846.19 and 896.47

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Solution

The fourth proportional to 1,338.12, 1,846.19 and 896.47 is: 1,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.12 : 1,846.19 = 896.47 : x
  2. Step 2: Convert to fraction form
    1,338.12/1,846.19 = 896.47/x
  3. Step 3: Cross multiply
    1,338.12x = 1,846.19 × 896.47
  4. Step 4: Simplify right side
    1,338.12x = 1,655,051.57
  5. Step 5: Solve for x
    x = 1,655,051.57/1,338.12
  6. Step 6: Final answer
    x = 1,236.85

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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.