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Finding the Fourth Proportional to 2,182.10, 3,272.79 and 600.45

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Solution

The fourth proportional to 2,182.10, 3,272.79 and 600.45 is: 900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.10 : 3,272.79 = 600.45 : x
  2. Step 2: Convert to fraction form
    2,182.10/3,272.79 = 600.45/x
  3. Step 3: Cross multiply
    2,182.10x = 3,272.79 × 600.45
  4. Step 4: Simplify right side
    2,182.10x = 1,965,127.39
  5. Step 5: Solve for x
    x = 1,965,127.39/2,182.10
  6. Step 6: Final answer
    x = 900.57

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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.