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Finding the Fourth Proportional to 1,232.40, 1,848.60 and 1,179.08

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Solution

The fourth proportional to 1,232.40, 1,848.60 and 1,179.08 is: 1,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.40 : 1,848.60 = 1,179.08 : x
  2. Step 2: Convert to fraction form
    1,232.40/1,848.60 = 1,179.08/x
  3. Step 3: Cross multiply
    1,232.40x = 1,848.60 × 1,179.08
  4. Step 4: Simplify right side
    1,232.40x = 2,179,638.05
  5. Step 5: Solve for x
    x = 2,179,638.05/1,232.40
  6. Step 6: Final answer
    x = 1,768.61

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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.