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Finding the Fourth Proportional to 1,262.09, 1,891.72 and 952.94

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Solution

The fourth proportional to 1,262.09, 1,891.72 and 952.94 is: 1,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.09 : 1,891.72 = 952.94 : x
  2. Step 2: Convert to fraction form
    1,262.09/1,891.72 = 952.94/x
  3. Step 3: Cross multiply
    1,262.09x = 1,891.72 × 952.94
  4. Step 4: Simplify right side
    1,262.09x = 1,802,695.66
  5. Step 5: Solve for x
    x = 1,802,695.66/1,262.09
  6. Step 6: Final answer
    x = 1,428.34

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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.