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Finding the Fourth Proportional to 2,936.44, 4,405.16 and 1,294.13

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Solution

The fourth proportional to 2,936.44, 4,405.16 and 1,294.13 is: 1,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.44 : 4,405.16 = 1,294.13 : x
  2. Step 2: Convert to fraction form
    2,936.44/4,405.16 = 1,294.13/x
  3. Step 3: Cross multiply
    2,936.44x = 4,405.16 × 1,294.13
  4. Step 4: Simplify right side
    2,936.44x = 5,700,849.71
  5. Step 5: Solve for x
    x = 5,700,849.71/2,936.44
  6. Step 6: Final answer
    x = 1,941.42

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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.