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Finding the Fourth Proportional to 4,902.40, 7,353.96 and 1,980.76

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Solution

The fourth proportional to 4,902.40, 7,353.96 and 1,980.76 is: 2,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.40 : 7,353.96 = 1,980.76 : x
  2. Step 2: Convert to fraction form
    4,902.40/7,353.96 = 1,980.76/x
  3. Step 3: Cross multiply
    4,902.40x = 7,353.96 × 1,980.76
  4. Step 4: Simplify right side
    4,902.40x = 14,566,429.81
  5. Step 5: Solve for x
    x = 14,566,429.81/4,902.40
  6. Step 6: Final answer
    x = 2,971.29

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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.