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Finding the Fourth Proportional to 1,236.58, 1,846.04 and 1,193.32

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Solution

The fourth proportional to 1,236.58, 1,846.04 and 1,193.32 is: 1,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.58 : 1,846.04 = 1,193.32 : x
  2. Step 2: Convert to fraction form
    1,236.58/1,846.04 = 1,193.32/x
  3. Step 3: Cross multiply
    1,236.58x = 1,846.04 × 1,193.32
  4. Step 4: Simplify right side
    1,236.58x = 2,202,916.45
  5. Step 5: Solve for x
    x = 2,202,916.45/1,236.58
  6. Step 6: Final answer
    x = 1,781.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.