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Finding the Fourth Proportional to 1,234.67, 1,851.98 and 369.05

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Solution

The fourth proportional to 1,234.67, 1,851.98 and 369.05 is: 553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.67 : 1,851.98 = 369.05 : x
  2. Step 2: Convert to fraction form
    1,234.67/1,851.98 = 369.05/x
  3. Step 3: Cross multiply
    1,234.67x = 1,851.98 × 369.05
  4. Step 4: Simplify right side
    1,234.67x = 683,462.11
  5. Step 5: Solve for x
    x = 683,462.11/1,234.67
  6. Step 6: Final answer
    x = 553.56

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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.