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Finding the Fourth Proportional to 2,998.88, 4,498.62 and 918.86

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Solution

The fourth proportional to 2,998.88, 4,498.62 and 918.86 is: 1,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.88 : 4,498.62 = 918.86 : x
  2. Step 2: Convert to fraction form
    2,998.88/4,498.62 = 918.86/x
  3. Step 3: Cross multiply
    2,998.88x = 4,498.62 × 918.86
  4. Step 4: Simplify right side
    2,998.88x = 4,133,601.97
  5. Step 5: Solve for x
    x = 4,133,601.97/2,998.88
  6. Step 6: Final answer
    x = 1,378.38

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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.