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Finding the Fourth Proportional to 4,155.69, 6,233.54 and 1,234.02

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Solution

The fourth proportional to 4,155.69, 6,233.54 and 1,234.02 is: 1,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.69 : 6,233.54 = 1,234.02 : x
  2. Step 2: Convert to fraction form
    4,155.69/6,233.54 = 1,234.02/x
  3. Step 3: Cross multiply
    4,155.69x = 6,233.54 × 1,234.02
  4. Step 4: Simplify right side
    4,155.69x = 7,692,306.86
  5. Step 5: Solve for x
    x = 7,692,306.86/4,155.69
  6. Step 6: Final answer
    x = 1,851.03

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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.