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Finding the Fourth Proportional to 1,233.09, 1,849.94 and 367.40

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Solution

The fourth proportional to 1,233.09, 1,849.94 and 367.40 is: 551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.09 : 1,849.94 = 367.40 : x
  2. Step 2: Convert to fraction form
    1,233.09/1,849.94 = 367.40/x
  3. Step 3: Cross multiply
    1,233.09x = 1,849.94 × 367.40
  4. Step 4: Simplify right side
    1,233.09x = 679,666.12
  5. Step 5: Solve for x
    x = 679,666.12/1,233.09
  6. Step 6: Final answer
    x = 551.19

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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.