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Finding the Fourth Proportional to 1,998.96, 2,998.77 and 612.16

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Solution

The fourth proportional to 1,998.96, 2,998.77 and 612.16 is: 918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.96 : 2,998.77 = 612.16 : x
  2. Step 2: Convert to fraction form
    1,998.96/2,998.77 = 612.16/x
  3. Step 3: Cross multiply
    1,998.96x = 2,998.77 × 612.16
  4. Step 4: Simplify right side
    1,998.96x = 1,835,720.69
  5. Step 5: Solve for x
    x = 1,835,720.69/1,998.96
  6. Step 6: Final answer
    x = 918.34

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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.