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Finding the Fourth Proportional to 2,255.17, 3,382.03 and 715.81

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Solution

The fourth proportional to 2,255.17, 3,382.03 and 715.81 is: 1,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.17 : 3,382.03 = 715.81 : x
  2. Step 2: Convert to fraction form
    2,255.17/3,382.03 = 715.81/x
  3. Step 3: Cross multiply
    2,255.17x = 3,382.03 × 715.81
  4. Step 4: Simplify right side
    2,255.17x = 2,420,872.19
  5. Step 5: Solve for x
    x = 2,420,872.19/2,255.17
  6. Step 6: Final answer
    x = 1,073.48

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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.