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Finding the Fourth Proportional to 2,643.36, 3,960.96 and 2,026.14

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Solution

The fourth proportional to 2,643.36, 3,960.96 and 2,026.14 is: 3,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.36 : 3,960.96 = 2,026.14 : x
  2. Step 2: Convert to fraction form
    2,643.36/3,960.96 = 2,026.14/x
  3. Step 3: Cross multiply
    2,643.36x = 3,960.96 × 2,026.14
  4. Step 4: Simplify right side
    2,643.36x = 8,025,459.49
  5. Step 5: Solve for x
    x = 8,025,459.49/2,643.36
  6. Step 6: Final answer
    x = 3,036.08

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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.