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Finding the Fourth Proportional to 4,789.89, 7,184.80 and 1,232

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Solution

The fourth proportional to 4,789.89, 7,184.80 and 1,232 is: 1,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.89 : 7,184.80 = 1,232 : x
  2. Step 2: Convert to fraction form
    4,789.89/7,184.80 = 1,232/x
  3. Step 3: Cross multiply
    4,789.89x = 7,184.80 × 1,232
  4. Step 4: Simplify right side
    4,789.89x = 8,851,673.60
  5. Step 5: Solve for x
    x = 8,851,673.60/4,789.89
  6. Step 6: Final answer
    x = 1,847.99

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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.