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Finding the Fourth Proportional to 1,215.33, 1,813.52 and 1,084.43

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Solution

The fourth proportional to 1,215.33, 1,813.52 and 1,084.43 is: 1,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.33 : 1,813.52 = 1,084.43 : x
  2. Step 2: Convert to fraction form
    1,215.33/1,813.52 = 1,084.43/x
  3. Step 3: Cross multiply
    1,215.33x = 1,813.52 × 1,084.43
  4. Step 4: Simplify right side
    1,215.33x = 1,966,636.64
  5. Step 5: Solve for x
    x = 1,966,636.64/1,215.33
  6. Step 6: Final answer
    x = 1,618.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.