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Finding the Fourth Proportional to 2,382.56, 3,258.75 and 2,344.29

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Solution

The fourth proportional to 2,382.56, 3,258.75 and 2,344.29 is: 3,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.56 : 3,258.75 = 2,344.29 : x
  2. Step 2: Convert to fraction form
    2,382.56/3,258.75 = 2,344.29/x
  3. Step 3: Cross multiply
    2,382.56x = 3,258.75 × 2,344.29
  4. Step 4: Simplify right side
    2,382.56x = 7,639,427.02
  5. Step 5: Solve for x
    x = 7,639,427.02/2,382.56
  6. Step 6: Final answer
    x = 3,206.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.