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Finding the Fourth Proportional to 2,966.25, 4,093.79 and 1,724.25

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Solution

The fourth proportional to 2,966.25, 4,093.79 and 1,724.25 is: 2,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.25 : 4,093.79 = 1,724.25 : x
  2. Step 2: Convert to fraction form
    2,966.25/4,093.79 = 1,724.25/x
  3. Step 3: Cross multiply
    2,966.25x = 4,093.79 × 1,724.25
  4. Step 4: Simplify right side
    2,966.25x = 7,058,708.79
  5. Step 5: Solve for x
    x = 7,058,708.79/2,966.25
  6. Step 6: Final answer
    x = 2,379.67

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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.