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Finding the Fourth Proportional to 1,813.54, 2,502.66 and 1,005.97

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Solution

The fourth proportional to 1,813.54, 2,502.66 and 1,005.97 is: 1,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.54 : 2,502.66 = 1,005.97 : x
  2. Step 2: Convert to fraction form
    1,813.54/2,502.66 = 1,005.97/x
  3. Step 3: Cross multiply
    1,813.54x = 2,502.66 × 1,005.97
  4. Step 4: Simplify right side
    1,813.54x = 2,517,600.88
  5. Step 5: Solve for x
    x = 2,517,600.88/1,813.54
  6. Step 6: Final answer
    x = 1,388.22

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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.