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Finding the Fourth Proportional to 2,151.32, 3,227.48 and 670.46

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Solution

The fourth proportional to 2,151.32, 3,227.48 and 670.46 is: 1,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.32 : 3,227.48 = 670.46 : x
  2. Step 2: Convert to fraction form
    2,151.32/3,227.48 = 670.46/x
  3. Step 3: Cross multiply
    2,151.32x = 3,227.48 × 670.46
  4. Step 4: Simplify right side
    2,151.32x = 2,163,900.96
  5. Step 5: Solve for x
    x = 2,163,900.96/2,151.32
  6. Step 6: Final answer
    x = 1,005.85

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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.