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Finding the Fourth Proportional to 2,383.03, 3,572.38 and 923.27

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Solution

The fourth proportional to 2,383.03, 3,572.38 and 923.27 is: 1,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.03 : 3,572.38 = 923.27 : x
  2. Step 2: Convert to fraction form
    2,383.03/3,572.38 = 923.27/x
  3. Step 3: Cross multiply
    2,383.03x = 3,572.38 × 923.27
  4. Step 4: Simplify right side
    2,383.03x = 3,298,271.28
  5. Step 5: Solve for x
    x = 3,298,271.28/2,383.03
  6. Step 6: Final answer
    x = 1,384.07

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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.