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Finding the Fourth Proportional to 2,654.09, 3,981.32 and 805.35

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Solution

The fourth proportional to 2,654.09, 3,981.32 and 805.35 is: 1,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.09 : 3,981.32 = 805.35 : x
  2. Step 2: Convert to fraction form
    2,654.09/3,981.32 = 805.35/x
  3. Step 3: Cross multiply
    2,654.09x = 3,981.32 × 805.35
  4. Step 4: Simplify right side
    2,654.09x = 3,206,352.04
  5. Step 5: Solve for x
    x = 3,206,352.04/2,654.09
  6. Step 6: Final answer
    x = 1,208.08

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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.