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Finding the Fourth Proportional to 2,998.98, 4,498.46 and 807.53

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Solution

The fourth proportional to 2,998.98, 4,498.46 and 807.53 is: 1,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.98 : 4,498.46 = 807.53 : x
  2. Step 2: Convert to fraction form
    2,998.98/4,498.46 = 807.53/x
  3. Step 3: Cross multiply
    2,998.98x = 4,498.46 × 807.53
  4. Step 4: Simplify right side
    2,998.98x = 3,632,614.87
  5. Step 5: Solve for x
    x = 3,632,614.87/2,998.98
  6. Step 6: Final answer
    x = 1,211.28

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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.