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Finding the Fourth Proportional to 2,649.51, 3,975.18 and 2,066.31

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Solution

The fourth proportional to 2,649.51, 3,975.18 and 2,066.31 is: 3,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.51 : 3,975.18 = 2,066.31 : x
  2. Step 2: Convert to fraction form
    2,649.51/3,975.18 = 2,066.31/x
  3. Step 3: Cross multiply
    2,649.51x = 3,975.18 × 2,066.31
  4. Step 4: Simplify right side
    2,649.51x = 8,213,946.44
  5. Step 5: Solve for x
    x = 8,213,946.44/2,649.51
  6. Step 6: Final answer
    x = 3,100.18

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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.