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Finding the Fourth Proportional to 2,182.56, 3,276.27 and 2,148.54

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Solution

The fourth proportional to 2,182.56, 3,276.27 and 2,148.54 is: 3,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.56 : 3,276.27 = 2,148.54 : x
  2. Step 2: Convert to fraction form
    2,182.56/3,276.27 = 2,148.54/x
  3. Step 3: Cross multiply
    2,182.56x = 3,276.27 × 2,148.54
  4. Step 4: Simplify right side
    2,182.56x = 7,039,197.15
  5. Step 5: Solve for x
    x = 7,039,197.15/2,182.56
  6. Step 6: Final answer
    x = 3,225.20

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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.