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Finding the Fourth Proportional to 3,491.88, 4,817.31 and 2,232.66

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Solution

The fourth proportional to 3,491.88, 4,817.31 and 2,232.66 is: 3,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.88 : 4,817.31 = 2,232.66 : x
  2. Step 2: Convert to fraction form
    3,491.88/4,817.31 = 2,232.66/x
  3. Step 3: Cross multiply
    3,491.88x = 4,817.31 × 2,232.66
  4. Step 4: Simplify right side
    3,491.88x = 10,755,415.34
  5. Step 5: Solve for x
    x = 10,755,415.34/3,491.88
  6. Step 6: Final answer
    x = 3,080.12

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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.