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Finding the Fourth Proportional to 2,390.24, 3,583.97 and 927.69

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Solution

The fourth proportional to 2,390.24, 3,583.97 and 927.69 is: 1,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.24 : 3,583.97 = 927.69 : x
  2. Step 2: Convert to fraction form
    2,390.24/3,583.97 = 927.69/x
  3. Step 3: Cross multiply
    2,390.24x = 3,583.97 × 927.69
  4. Step 4: Simplify right side
    2,390.24x = 3,324,808.49
  5. Step 5: Solve for x
    x = 3,324,808.49/2,390.24
  6. Step 6: Final answer
    x = 1,391.00

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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.