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Finding the Fourth Proportional to 2,643.98, 3,960.83 and 1,410.98

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Solution

The fourth proportional to 2,643.98, 3,960.83 and 1,410.98 is: 2,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.98 : 3,960.83 = 1,410.98 : x
  2. Step 2: Convert to fraction form
    2,643.98/3,960.83 = 1,410.98/x
  3. Step 3: Cross multiply
    2,643.98x = 3,960.83 × 1,410.98
  4. Step 4: Simplify right side
    2,643.98x = 5,588,635.64
  5. Step 5: Solve for x
    x = 5,588,635.64/2,643.98
  6. Step 6: Final answer
    x = 2,113.72

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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.