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Finding the Fourth Proportional to 1,233.13, 1,849.98 and 367.46

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Solution

The fourth proportional to 1,233.13, 1,849.98 and 367.46 is: 551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.13 : 1,849.98 = 367.46 : x
  2. Step 2: Convert to fraction form
    1,233.13/1,849.98 = 367.46/x
  3. Step 3: Cross multiply
    1,233.13x = 1,849.98 × 367.46
  4. Step 4: Simplify right side
    1,233.13x = 679,793.65
  5. Step 5: Solve for x
    x = 679,793.65/1,233.13
  6. Step 6: Final answer
    x = 551.27

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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.