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Finding the Fourth Proportional to 1,648.52, 2,474.40 and 918.62

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Solution

The fourth proportional to 1,648.52, 2,474.40 and 918.62 is: 1,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.52 : 2,474.40 = 918.62 : x
  2. Step 2: Convert to fraction form
    1,648.52/2,474.40 = 918.62/x
  3. Step 3: Cross multiply
    1,648.52x = 2,474.40 × 918.62
  4. Step 4: Simplify right side
    1,648.52x = 2,273,033.33
  5. Step 5: Solve for x
    x = 2,273,033.33/1,648.52
  6. Step 6: Final answer
    x = 1,378.83

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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.