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Finding the Fourth Proportional to 1,453.72, 2,005.51 and 863.94

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Solution

The fourth proportional to 1,453.72, 2,005.51 and 863.94 is: 1,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.72 : 2,005.51 = 863.94 : x
  2. Step 2: Convert to fraction form
    1,453.72/2,005.51 = 863.94/x
  3. Step 3: Cross multiply
    1,453.72x = 2,005.51 × 863.94
  4. Step 4: Simplify right side
    1,453.72x = 1,732,640.31
  5. Step 5: Solve for x
    x = 1,732,640.31/1,453.72
  6. Step 6: Final answer
    x = 1,191.87

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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.