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Finding the Fourth Proportional to 1,625.94, 2,243.81 and 927.34

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Solution

The fourth proportional to 1,625.94, 2,243.81 and 927.34 is: 1,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.94 : 2,243.81 = 927.34 : x
  2. Step 2: Convert to fraction form
    1,625.94/2,243.81 = 927.34/x
  3. Step 3: Cross multiply
    1,625.94x = 2,243.81 × 927.34
  4. Step 4: Simplify right side
    1,625.94x = 2,080,774.77
  5. Step 5: Solve for x
    x = 2,080,774.77/1,625.94
  6. Step 6: Final answer
    x = 1,279.74

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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.