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Finding the Fourth Proportional to 1,863.25, 2,571.64 and 1,117.64

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Solution

The fourth proportional to 1,863.25, 2,571.64 and 1,117.64 is: 1,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.25 : 2,571.64 = 1,117.64 : x
  2. Step 2: Convert to fraction form
    1,863.25/2,571.64 = 1,117.64/x
  3. Step 3: Cross multiply
    1,863.25x = 2,571.64 × 1,117.64
  4. Step 4: Simplify right side
    1,863.25x = 2,874,171.36
  5. Step 5: Solve for x
    x = 2,874,171.36/1,863.25
  6. Step 6: Final answer
    x = 1,542.56

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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.