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Finding the Fourth Proportional to 2,884.41, 4,326.61 and 936.76

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Solution

The fourth proportional to 2,884.41, 4,326.61 and 936.76 is: 1,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.41 : 4,326.61 = 936.76 : x
  2. Step 2: Convert to fraction form
    2,884.41/4,326.61 = 936.76/x
  3. Step 3: Cross multiply
    2,884.41x = 4,326.61 × 936.76
  4. Step 4: Simplify right side
    2,884.41x = 4,052,995.18
  5. Step 5: Solve for x
    x = 4,052,995.18/2,884.41
  6. Step 6: Final answer
    x = 1,405.14

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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.