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Finding the Fourth Proportional to 2,669.75, 3,997.63 and 1,885.51

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Solution

The fourth proportional to 2,669.75, 3,997.63 and 1,885.51 is: 2,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.75 : 3,997.63 = 1,885.51 : x
  2. Step 2: Convert to fraction form
    2,669.75/3,997.63 = 1,885.51/x
  3. Step 3: Cross multiply
    2,669.75x = 3,997.63 × 1,885.51
  4. Step 4: Simplify right side
    2,669.75x = 7,537,571.34
  5. Step 5: Solve for x
    x = 7,537,571.34/2,669.75
  6. Step 6: Final answer
    x = 2,823.32

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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.