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Finding the Fourth Proportional to 3,118.98, 4,671 and 1,729.02

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Solution

The fourth proportional to 3,118.98, 4,671 and 1,729.02 is: 2,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.98 : 4,671 = 1,729.02 : x
  2. Step 2: Convert to fraction form
    3,118.98/4,671 = 1,729.02/x
  3. Step 3: Cross multiply
    3,118.98x = 4,671 × 1,729.02
  4. Step 4: Simplify right side
    3,118.98x = 8,076,252.42
  5. Step 5: Solve for x
    x = 8,076,252.42/3,118.98
  6. Step 6: Final answer
    x = 2,589.39

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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.