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Finding the Fourth Proportional to 2,321.28, 3,464.28 and 2,165.76

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Solution

The fourth proportional to 2,321.28, 3,464.28 and 2,165.76 is: 3,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.28 : 3,464.28 = 2,165.76 : x
  2. Step 2: Convert to fraction form
    2,321.28/3,464.28 = 2,165.76/x
  3. Step 3: Cross multiply
    2,321.28x = 3,464.28 × 2,165.76
  4. Step 4: Simplify right side
    2,321.28x = 7,502,799.05
  5. Step 5: Solve for x
    x = 7,502,799.05/2,321.28
  6. Step 6: Final answer
    x = 3,232.18

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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.