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Finding the Fourth Proportional to 4,902.20, 7,353.30 and 1,980.17

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Solution

The fourth proportional to 4,902.20, 7,353.30 and 1,980.17 is: 2,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.20 : 7,353.30 = 1,980.17 : x
  2. Step 2: Convert to fraction form
    4,902.20/7,353.30 = 1,980.17/x
  3. Step 3: Cross multiply
    4,902.20x = 7,353.30 × 1,980.17
  4. Step 4: Simplify right side
    4,902.20x = 14,560,784.06
  5. Step 5: Solve for x
    x = 14,560,784.06/4,902.20
  6. Step 6: Final answer
    x = 2,970.26

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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.