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Finding the Fourth Proportional to 2,456.65, 3,685.25 and 812.60

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Solution

The fourth proportional to 2,456.65, 3,685.25 and 812.60 is: 1,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.65 : 3,685.25 = 812.60 : x
  2. Step 2: Convert to fraction form
    2,456.65/3,685.25 = 812.60/x
  3. Step 3: Cross multiply
    2,456.65x = 3,685.25 × 812.60
  4. Step 4: Simplify right side
    2,456.65x = 2,994,620.87
  5. Step 5: Solve for x
    x = 2,994,620.87/2,456.65
  6. Step 6: Final answer
    x = 1,218.99

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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.