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Finding the Fourth Proportional to 2,643.17, 3,963.42 and 1,410.26

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Solution

The fourth proportional to 2,643.17, 3,963.42 and 1,410.26 is: 2,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.17 : 3,963.42 = 1,410.26 : x
  2. Step 2: Convert to fraction form
    2,643.17/3,963.42 = 1,410.26/x
  3. Step 3: Cross multiply
    2,643.17x = 3,963.42 × 1,410.26
  4. Step 4: Simplify right side
    2,643.17x = 5,589,432.87
  5. Step 5: Solve for x
    x = 5,589,432.87/2,643.17
  6. Step 6: Final answer
    x = 2,114.67

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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.