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Finding the Fourth Proportional to 2,405.44, 3,608.52 and 1,234.81

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Solution

The fourth proportional to 2,405.44, 3,608.52 and 1,234.81 is: 1,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.44 : 3,608.52 = 1,234.81 : x
  2. Step 2: Convert to fraction form
    2,405.44/3,608.52 = 1,234.81/x
  3. Step 3: Cross multiply
    2,405.44x = 3,608.52 × 1,234.81
  4. Step 4: Simplify right side
    2,405.44x = 4,455,836.58
  5. Step 5: Solve for x
    x = 4,455,836.58/2,405.44
  6. Step 6: Final answer
    x = 1,852.40

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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.