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Finding the Fourth Proportional to 1,292.54, 1,938.80 and 367.97

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Solution

The fourth proportional to 1,292.54, 1,938.80 and 367.97 is: 551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.54 : 1,938.80 = 367.97 : x
  2. Step 2: Convert to fraction form
    1,292.54/1,938.80 = 367.97/x
  3. Step 3: Cross multiply
    1,292.54x = 1,938.80 × 367.97
  4. Step 4: Simplify right side
    1,292.54x = 713,420.24
  5. Step 5: Solve for x
    x = 713,420.24/1,292.54
  6. Step 6: Final answer
    x = 551.95

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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.