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Finding the Fourth Proportional to 2,313.96, 3,471.84 and 1,219.20

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Solution

The fourth proportional to 2,313.96, 3,471.84 and 1,219.20 is: 1,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.96 : 3,471.84 = 1,219.20 : x
  2. Step 2: Convert to fraction form
    2,313.96/3,471.84 = 1,219.20/x
  3. Step 3: Cross multiply
    2,313.96x = 3,471.84 × 1,219.20
  4. Step 4: Simplify right side
    2,313.96x = 4,232,867.33
  5. Step 5: Solve for x
    x = 4,232,867.33/2,313.96
  6. Step 6: Final answer
    x = 1,829.27

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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.