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Finding the Fourth Proportional to 3,204.98, 4,807.67 and 1,124.90

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Solution

The fourth proportional to 3,204.98, 4,807.67 and 1,124.90 is: 1,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.98 : 4,807.67 = 1,124.90 : x
  2. Step 2: Convert to fraction form
    3,204.98/4,807.67 = 1,124.90/x
  3. Step 3: Cross multiply
    3,204.98x = 4,807.67 × 1,124.90
  4. Step 4: Simplify right side
    3,204.98x = 5,408,118.32
  5. Step 5: Solve for x
    x = 5,408,118.32/3,204.98
  6. Step 6: Final answer
    x = 1,687.41

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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.