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Finding the Fourth Proportional to 3,069.54, 4,234.40 and 2,007.94

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Solution

The fourth proportional to 3,069.54, 4,234.40 and 2,007.94 is: 2,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.54 : 4,234.40 = 2,007.94 : x
  2. Step 2: Convert to fraction form
    3,069.54/4,234.40 = 2,007.94/x
  3. Step 3: Cross multiply
    3,069.54x = 4,234.40 × 2,007.94
  4. Step 4: Simplify right side
    3,069.54x = 8,502,421.14
  5. Step 5: Solve for x
    x = 8,502,421.14/3,069.54
  6. Step 6: Final answer
    x = 2,769.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.