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Finding the Fourth Proportional to 2,643.02, 3,965.13 and 1,409.78

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Solution

The fourth proportional to 2,643.02, 3,965.13 and 1,409.78 is: 2,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.02 : 3,965.13 = 1,409.78 : x
  2. Step 2: Convert to fraction form
    2,643.02/3,965.13 = 1,409.78/x
  3. Step 3: Cross multiply
    2,643.02x = 3,965.13 × 1,409.78
  4. Step 4: Simplify right side
    2,643.02x = 5,589,941.15
  5. Step 5: Solve for x
    x = 5,589,941.15/2,643.02
  6. Step 6: Final answer
    x = 2,114.99

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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.