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Finding the Fourth Proportional to 2,180.16, 3,270.64 and 719.72

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Solution

The fourth proportional to 2,180.16, 3,270.64 and 719.72 is: 1,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.16 : 3,270.64 = 719.72 : x
  2. Step 2: Convert to fraction form
    2,180.16/3,270.64 = 719.72/x
  3. Step 3: Cross multiply
    2,180.16x = 3,270.64 × 719.72
  4. Step 4: Simplify right side
    2,180.16x = 2,353,945.02
  5. Step 5: Solve for x
    x = 2,353,945.02/2,180.16
  6. Step 6: Final answer
    x = 1,079.71

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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.