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Finding the Fourth Proportional to 2,755.21, 3,807.65 and 2,257.06

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Solution

The fourth proportional to 2,755.21, 3,807.65 and 2,257.06 is: 3,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.21 : 3,807.65 = 2,257.06 : x
  2. Step 2: Convert to fraction form
    2,755.21/3,807.65 = 2,257.06/x
  3. Step 3: Cross multiply
    2,755.21x = 3,807.65 × 2,257.06
  4. Step 4: Simplify right side
    2,755.21x = 8,594,094.51
  5. Step 5: Solve for x
    x = 8,594,094.51/2,755.21
  6. Step 6: Final answer
    x = 3,119.22

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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.