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Finding the Fourth Proportional to 4,154.69, 6,231.20 and 1,380.54

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Solution

The fourth proportional to 4,154.69, 6,231.20 and 1,380.54 is: 2,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.69 : 6,231.20 = 1,380.54 : x
  2. Step 2: Convert to fraction form
    4,154.69/6,231.20 = 1,380.54/x
  3. Step 3: Cross multiply
    4,154.69x = 6,231.20 × 1,380.54
  4. Step 4: Simplify right side
    4,154.69x = 8,602,448.96
  5. Step 5: Solve for x
    x = 8,602,448.96/4,154.69
  6. Step 6: Final answer
    x = 2,070.54

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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.