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Finding the Fourth Proportional to 2,800.69, 3,866.04 and 2,505.43

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Solution

The fourth proportional to 2,800.69, 3,866.04 and 2,505.43 is: 3,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.69 : 3,866.04 = 2,505.43 : x
  2. Step 2: Convert to fraction form
    2,800.69/3,866.04 = 2,505.43/x
  3. Step 3: Cross multiply
    2,800.69x = 3,866.04 × 2,505.43
  4. Step 4: Simplify right side
    2,800.69x = 9,686,092.60
  5. Step 5: Solve for x
    x = 9,686,092.60/2,800.69
  6. Step 6: Final answer
    x = 3,458.47

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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.