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Finding the Fourth Proportional to 2,649.44, 3,980.58 and 2,338.40

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Solution

The fourth proportional to 2,649.44, 3,980.58 and 2,338.40 is: 3,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.44 : 3,980.58 = 2,338.40 : x
  2. Step 2: Convert to fraction form
    2,649.44/3,980.58 = 2,338.40/x
  3. Step 3: Cross multiply
    2,649.44x = 3,980.58 × 2,338.40
  4. Step 4: Simplify right side
    2,649.44x = 9,308,188.27
  5. Step 5: Solve for x
    x = 9,308,188.27/2,649.44
  6. Step 6: Final answer
    x = 3,513.27

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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.