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Finding the Fourth Proportional to 2,785.65, 4,180.10 and 1,324.01

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Solution

The fourth proportional to 2,785.65, 4,180.10 and 1,324.01 is: 1,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.65 : 4,180.10 = 1,324.01 : x
  2. Step 2: Convert to fraction form
    2,785.65/4,180.10 = 1,324.01/x
  3. Step 3: Cross multiply
    2,785.65x = 4,180.10 × 1,324.01
  4. Step 4: Simplify right side
    2,785.65x = 5,534,466.68
  5. Step 5: Solve for x
    x = 5,534,466.68/2,785.65
  6. Step 6: Final answer
    x = 1,986.78

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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.