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Finding the Fourth Proportional to 2,389.24, 3,581.72 and 928.05

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Solution

The fourth proportional to 2,389.24, 3,581.72 and 928.05 is: 1,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.24 : 3,581.72 = 928.05 : x
  2. Step 2: Convert to fraction form
    2,389.24/3,581.72 = 928.05/x
  3. Step 3: Cross multiply
    2,389.24x = 3,581.72 × 928.05
  4. Step 4: Simplify right side
    2,389.24x = 3,324,015.25
  5. Step 5: Solve for x
    x = 3,324,015.25/2,389.24
  6. Step 6: Final answer
    x = 1,391.24

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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.