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Finding the Fourth Proportional to 4,302, 6,455.16 and 1,962

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Solution

The fourth proportional to 4,302, 6,455.16 and 1,962 is: 2,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302 : 6,455.16 = 1,962 : x
  2. Step 2: Convert to fraction form
    4,302/6,455.16 = 1,962/x
  3. Step 3: Cross multiply
    4,302x = 6,455.16 × 1,962
  4. Step 4: Simplify right side
    4,302x = 12,665,023.92
  5. Step 5: Solve for x
    x = 12,665,023.92/4,302
  6. Step 6: Final answer
    x = 2,943.99

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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.