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Finding the Fourth Proportional to 2,379.52, 3,568.26 and 1,649.32

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Solution

The fourth proportional to 2,379.52, 3,568.26 and 1,649.32 is: 2,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.52 : 3,568.26 = 1,649.32 : x
  2. Step 2: Convert to fraction form
    2,379.52/3,568.26 = 1,649.32/x
  3. Step 3: Cross multiply
    2,379.52x = 3,568.26 × 1,649.32
  4. Step 4: Simplify right side
    2,379.52x = 5,885,202.58
  5. Step 5: Solve for x
    x = 5,885,202.58/2,379.52
  6. Step 6: Final answer
    x = 2,473.27

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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.