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Finding the Fourth Proportional to 1,295.57, 1,933.79 and 1,204.14

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Solution

The fourth proportional to 1,295.57, 1,933.79 and 1,204.14 is: 1,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.57 : 1,933.79 = 1,204.14 : x
  2. Step 2: Convert to fraction form
    1,295.57/1,933.79 = 1,204.14/x
  3. Step 3: Cross multiply
    1,295.57x = 1,933.79 × 1,204.14
  4. Step 4: Simplify right side
    1,295.57x = 2,328,551.38
  5. Step 5: Solve for x
    x = 2,328,551.38/1,295.57
  6. Step 6: Final answer
    x = 1,797.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.