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Finding the Fourth Proportional to 2,180.40, 3,269.34 and 719.16

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Solution

The fourth proportional to 2,180.40, 3,269.34 and 719.16 is: 1,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.40 : 3,269.34 = 719.16 : x
  2. Step 2: Convert to fraction form
    2,180.40/3,269.34 = 719.16/x
  3. Step 3: Cross multiply
    2,180.40x = 3,269.34 × 719.16
  4. Step 4: Simplify right side
    2,180.40x = 2,351,178.55
  5. Step 5: Solve for x
    x = 2,351,178.55/2,180.40
  6. Step 6: Final answer
    x = 1,078.32

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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.