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Finding the Fourth Proportional to 2,767.37, 3,817.13 and 2,009.88

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Solution

The fourth proportional to 2,767.37, 3,817.13 and 2,009.88 is: 2,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.37 : 3,817.13 = 2,009.88 : x
  2. Step 2: Convert to fraction form
    2,767.37/3,817.13 = 2,009.88/x
  3. Step 3: Cross multiply
    2,767.37x = 3,817.13 × 2,009.88
  4. Step 4: Simplify right side
    2,767.37x = 7,671,963.20
  5. Step 5: Solve for x
    x = 7,671,963.20/2,767.37
  6. Step 6: Final answer
    x = 2,772.30

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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.