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Finding the Fourth Proportional to 2,182.36, 3,270.84 and 1,025.68

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Solution

The fourth proportional to 2,182.36, 3,270.84 and 1,025.68 is: 1,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.36 : 3,270.84 = 1,025.68 : x
  2. Step 2: Convert to fraction form
    2,182.36/3,270.84 = 1,025.68/x
  3. Step 3: Cross multiply
    2,182.36x = 3,270.84 × 1,025.68
  4. Step 4: Simplify right side
    2,182.36x = 3,354,835.17
  5. Step 5: Solve for x
    x = 3,354,835.17/2,182.36
  6. Step 6: Final answer
    x = 1,537.25

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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.