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Finding the Fourth Proportional to 2,444.67, 3,661.05 and 1,270.98

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Solution

The fourth proportional to 2,444.67, 3,661.05 and 1,270.98 is: 1,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.67 : 3,661.05 = 1,270.98 : x
  2. Step 2: Convert to fraction form
    2,444.67/3,661.05 = 1,270.98/x
  3. Step 3: Cross multiply
    2,444.67x = 3,661.05 × 1,270.98
  4. Step 4: Simplify right side
    2,444.67x = 4,653,121.33
  5. Step 5: Solve for x
    x = 4,653,121.33/2,444.67
  6. Step 6: Final answer
    x = 1,903.37

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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.