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Finding the Fourth Proportional to 1,292.15, 1,938.26 and 367.81

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Solution

The fourth proportional to 1,292.15, 1,938.26 and 367.81 is: 551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.15 : 1,938.26 = 367.81 : x
  2. Step 2: Convert to fraction form
    1,292.15/1,938.26 = 367.81/x
  3. Step 3: Cross multiply
    1,292.15x = 1,938.26 × 367.81
  4. Step 4: Simplify right side
    1,292.15x = 712,907.48
  5. Step 5: Solve for x
    x = 712,907.48/1,292.15
  6. Step 6: Final answer
    x = 551.72

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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.