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Finding the Fourth Proportional to 1,648.65, 2,473.49 and 674.83

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Solution

The fourth proportional to 1,648.65, 2,473.49 and 674.83 is: 1,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.65 : 2,473.49 = 674.83 : x
  2. Step 2: Convert to fraction form
    1,648.65/2,473.49 = 674.83/x
  3. Step 3: Cross multiply
    1,648.65x = 2,473.49 × 674.83
  4. Step 4: Simplify right side
    1,648.65x = 1,669,185.26
  5. Step 5: Solve for x
    x = 1,669,185.26/1,648.65
  6. Step 6: Final answer
    x = 1,012.46

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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.