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Finding the Fourth Proportional to 2,952.70, 4,072.62 and 1,903.75

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Solution

The fourth proportional to 2,952.70, 4,072.62 and 1,903.75 is: 2,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.70 : 4,072.62 = 1,903.75 : x
  2. Step 2: Convert to fraction form
    2,952.70/4,072.62 = 1,903.75/x
  3. Step 3: Cross multiply
    2,952.70x = 4,072.62 × 1,903.75
  4. Step 4: Simplify right side
    2,952.70x = 7,753,250.33
  5. Step 5: Solve for x
    x = 7,753,250.33/2,952.70
  6. Step 6: Final answer
    x = 2,625.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.