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Finding the Fourth Proportional to 2,785.56, 4,174.65 and 2,324.25

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Solution

The fourth proportional to 2,785.56, 4,174.65 and 2,324.25 is: 3,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.56 : 4,174.65 = 2,324.25 : x
  2. Step 2: Convert to fraction form
    2,785.56/4,174.65 = 2,324.25/x
  3. Step 3: Cross multiply
    2,785.56x = 4,174.65 × 2,324.25
  4. Step 4: Simplify right side
    2,785.56x = 9,702,930.26
  5. Step 5: Solve for x
    x = 9,702,930.26/2,785.56
  6. Step 6: Final answer
    x = 3,483.30

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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.