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Finding the Fourth Proportional to 4,902.80, 7,355.52 and 1,616.81

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Solution

The fourth proportional to 4,902.80, 7,355.52 and 1,616.81 is: 2,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.80 : 7,355.52 = 1,616.81 : x
  2. Step 2: Convert to fraction form
    4,902.80/7,355.52 = 1,616.81/x
  3. Step 3: Cross multiply
    4,902.80x = 7,355.52 × 1,616.81
  4. Step 4: Simplify right side
    4,902.80x = 11,892,441.51
  5. Step 5: Solve for x
    x = 11,892,441.51/4,902.80
  6. Step 6: Final answer
    x = 2,425.65

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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.