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Finding the Fourth Proportional to 2,936.64, 4,409.28 and 1,208.64

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Solution

The fourth proportional to 2,936.64, 4,409.28 and 1,208.64 is: 1,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.64 : 4,409.28 = 1,208.64 : x
  2. Step 2: Convert to fraction form
    2,936.64/4,409.28 = 1,208.64/x
  3. Step 3: Cross multiply
    2,936.64x = 4,409.28 × 1,208.64
  4. Step 4: Simplify right side
    2,936.64x = 5,329,232.18
  5. Step 5: Solve for x
    x = 5,329,232.18/2,936.64
  6. Step 6: Final answer
    x = 1,814.74

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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.