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Finding the Fourth Proportional to 1,628.67, 2,441.25 and 805.17

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Solution

The fourth proportional to 1,628.67, 2,441.25 and 805.17 is: 1,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.67 : 2,441.25 = 805.17 : x
  2. Step 2: Convert to fraction form
    1,628.67/2,441.25 = 805.17/x
  3. Step 3: Cross multiply
    1,628.67x = 2,441.25 × 805.17
  4. Step 4: Simplify right side
    1,628.67x = 1,965,621.26
  5. Step 5: Solve for x
    x = 1,965,621.26/1,628.67
  6. Step 6: Final answer
    x = 1,206.89

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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.