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Finding the Fourth Proportional to 2,456.65, 3,684.97 and 996.83

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Solution

The fourth proportional to 2,456.65, 3,684.97 and 996.83 is: 1,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.65 : 3,684.97 = 996.83 : x
  2. Step 2: Convert to fraction form
    2,456.65/3,684.97 = 996.83/x
  3. Step 3: Cross multiply
    2,456.65x = 3,684.97 × 996.83
  4. Step 4: Simplify right side
    2,456.65x = 3,673,288.65
  5. Step 5: Solve for x
    x = 3,673,288.65/2,456.65
  6. Step 6: Final answer
    x = 1,495.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.