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Finding the Fourth Proportional to 1,447.55, 2,162.52 and 923.37

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Solution

The fourth proportional to 1,447.55, 2,162.52 and 923.37 is: 1,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.55 : 2,162.52 = 923.37 : x
  2. Step 2: Convert to fraction form
    1,447.55/2,162.52 = 923.37/x
  3. Step 3: Cross multiply
    1,447.55x = 2,162.52 × 923.37
  4. Step 4: Simplify right side
    1,447.55x = 1,996,806.09
  5. Step 5: Solve for x
    x = 1,996,806.09/1,447.55
  6. Step 6: Final answer
    x = 1,379.44

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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.