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Finding the Fourth Proportional to 2,456.07, 3,683.75 and 812.64

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Solution

The fourth proportional to 2,456.07, 3,683.75 and 812.64 is: 1,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.07 : 3,683.75 = 812.64 : x
  2. Step 2: Convert to fraction form
    2,456.07/3,683.75 = 812.64/x
  3. Step 3: Cross multiply
    2,456.07x = 3,683.75 × 812.64
  4. Step 4: Simplify right side
    2,456.07x = 2,993,558.54
  5. Step 5: Solve for x
    x = 2,993,558.54/2,456.07
  6. Step 6: Final answer
    x = 1,218.84

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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.