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Finding the Fourth Proportional to 2,998.67, 4,498.08 and 807.39

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Solution

The fourth proportional to 2,998.67, 4,498.08 and 807.39 is: 1,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.67 : 4,498.08 = 807.39 : x
  2. Step 2: Convert to fraction form
    2,998.67/4,498.08 = 807.39/x
  3. Step 3: Cross multiply
    2,998.67x = 4,498.08 × 807.39
  4. Step 4: Simplify right side
    2,998.67x = 3,631,704.81
  5. Step 5: Solve for x
    x = 3,631,704.81/2,998.67
  6. Step 6: Final answer
    x = 1,211.11

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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.