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Finding the Fourth Proportional to 2,936.71, 4,405.25 and 962.47

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Solution

The fourth proportional to 2,936.71, 4,405.25 and 962.47 is: 1,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.71 : 4,405.25 = 962.47 : x
  2. Step 2: Convert to fraction form
    2,936.71/4,405.25 = 962.47/x
  3. Step 3: Cross multiply
    2,936.71x = 4,405.25 × 962.47
  4. Step 4: Simplify right side
    2,936.71x = 4,239,920.97
  5. Step 5: Solve for x
    x = 4,239,920.97/2,936.71
  6. Step 6: Final answer
    x = 1,443.77

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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.