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Finding the Fourth Proportional to 1,998.60, 2,996.70 and 766.10

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Solution

The fourth proportional to 1,998.60, 2,996.70 and 766.10 is: 1,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.60 : 2,996.70 = 766.10 : x
  2. Step 2: Convert to fraction form
    1,998.60/2,996.70 = 766.10/x
  3. Step 3: Cross multiply
    1,998.60x = 2,996.70 × 766.10
  4. Step 4: Simplify right side
    1,998.60x = 2,295,771.87
  5. Step 5: Solve for x
    x = 2,295,771.87/1,998.60
  6. Step 6: Final answer
    x = 1,148.69

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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.