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Finding the Fourth Proportional to 1,774.92, 2,450.34 and 1,112.34

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Solution

The fourth proportional to 1,774.92, 2,450.34 and 1,112.34 is: 1,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.92 : 2,450.34 = 1,112.34 : x
  2. Step 2: Convert to fraction form
    1,774.92/2,450.34 = 1,112.34/x
  3. Step 3: Cross multiply
    1,774.92x = 2,450.34 × 1,112.34
  4. Step 4: Simplify right side
    1,774.92x = 2,725,611.20
  5. Step 5: Solve for x
    x = 2,725,611.20/1,774.92
  6. Step 6: Final answer
    x = 1,535.62

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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.