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Finding the Fourth Proportional to 2,930.05, 4,396 and 1,287.98

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Solution

The fourth proportional to 2,930.05, 4,396 and 1,287.98 is: 1,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.05 : 4,396 = 1,287.98 : x
  2. Step 2: Convert to fraction form
    2,930.05/4,396 = 1,287.98/x
  3. Step 3: Cross multiply
    2,930.05x = 4,396 × 1,287.98
  4. Step 4: Simplify right side
    2,930.05x = 5,661,960.08
  5. Step 5: Solve for x
    x = 5,661,960.08/2,930.05
  6. Step 6: Final answer
    x = 1,932.38

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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.