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Finding the Fourth Proportional to 2,111.94, 3,166.94 and 1,235.28

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Solution

The fourth proportional to 2,111.94, 3,166.94 and 1,235.28 is: 1,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.94 : 3,166.94 = 1,235.28 : x
  2. Step 2: Convert to fraction form
    2,111.94/3,166.94 = 1,235.28/x
  3. Step 3: Cross multiply
    2,111.94x = 3,166.94 × 1,235.28
  4. Step 4: Simplify right side
    2,111.94x = 3,912,057.64
  5. Step 5: Solve for x
    x = 3,912,057.64/2,111.94
  6. Step 6: Final answer
    x = 1,852.35

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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.