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Finding the Fourth Proportional to 2,444.27, 3,665.49 and 982.93

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Solution

The fourth proportional to 2,444.27, 3,665.49 and 982.93 is: 1,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.27 : 3,665.49 = 982.93 : x
  2. Step 2: Convert to fraction form
    2,444.27/3,665.49 = 982.93/x
  3. Step 3: Cross multiply
    2,444.27x = 3,665.49 × 982.93
  4. Step 4: Simplify right side
    2,444.27x = 3,602,920.09
  5. Step 5: Solve for x
    x = 3,602,920.09/2,444.27
  6. Step 6: Final answer
    x = 1,474.03

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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.