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Finding the Fourth Proportional to 2,166.75, 3,250.46 and 705.56

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Solution

The fourth proportional to 2,166.75, 3,250.46 and 705.56 is: 1,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.75 : 3,250.46 = 705.56 : x
  2. Step 2: Convert to fraction form
    2,166.75/3,250.46 = 705.56/x
  3. Step 3: Cross multiply
    2,166.75x = 3,250.46 × 705.56
  4. Step 4: Simplify right side
    2,166.75x = 2,293,394.56
  5. Step 5: Solve for x
    x = 2,293,394.56/2,166.75
  6. Step 6: Final answer
    x = 1,058.45

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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.