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Finding the Fourth Proportional to 3,078.40, 4,618.26 and 998.47

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Solution

The fourth proportional to 3,078.40, 4,618.26 and 998.47 is: 1,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.40 : 4,618.26 = 998.47 : x
  2. Step 2: Convert to fraction form
    3,078.40/4,618.26 = 998.47/x
  3. Step 3: Cross multiply
    3,078.40x = 4,618.26 × 998.47
  4. Step 4: Simplify right side
    3,078.40x = 4,611,194.06
  5. Step 5: Solve for x
    x = 4,611,194.06/3,078.40
  6. Step 6: Final answer
    x = 1,497.92

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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.