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Finding the Fourth Proportional to 4,786.78, 7,180.55 and 1,324.02

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Solution

The fourth proportional to 4,786.78, 7,180.55 and 1,324.02 is: 1,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.78 : 7,180.55 = 1,324.02 : x
  2. Step 2: Convert to fraction form
    4,786.78/7,180.55 = 1,324.02/x
  3. Step 3: Cross multiply
    4,786.78x = 7,180.55 × 1,324.02
  4. Step 4: Simplify right side
    4,786.78x = 9,507,191.81
  5. Step 5: Solve for x
    x = 9,507,191.81/4,786.78
  6. Step 6: Final answer
    x = 1,986.14

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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.