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Finding the Fourth Proportional to 3,259.70, 4,890.45 and 1,616.30

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Solution

The fourth proportional to 3,259.70, 4,890.45 and 1,616.30 is: 2,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.70 : 4,890.45 = 1,616.30 : x
  2. Step 2: Convert to fraction form
    3,259.70/4,890.45 = 1,616.30/x
  3. Step 3: Cross multiply
    3,259.70x = 4,890.45 × 1,616.30
  4. Step 4: Simplify right side
    3,259.70x = 7,904,434.34
  5. Step 5: Solve for x
    x = 7,904,434.34/3,259.70
  6. Step 6: Final answer
    x = 2,424.90

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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.