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Finding the Fourth Proportional to 2,885.90, 3,982.26 and 1,767.16

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Solution

The fourth proportional to 2,885.90, 3,982.26 and 1,767.16 is: 2,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.90 : 3,982.26 = 1,767.16 : x
  2. Step 2: Convert to fraction form
    2,885.90/3,982.26 = 1,767.16/x
  3. Step 3: Cross multiply
    2,885.90x = 3,982.26 × 1,767.16
  4. Step 4: Simplify right side
    2,885.90x = 7,037,274.00
  5. Step 5: Solve for x
    x = 7,037,274.00/2,885.90
  6. Step 6: Final answer
    x = 2,438.50

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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.