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Finding the Fourth Proportional to 2,180.52, 3,271.05 and 719.17

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Solution

The fourth proportional to 2,180.52, 3,271.05 and 719.17 is: 1,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.52 : 3,271.05 = 719.17 : x
  2. Step 2: Convert to fraction form
    2,180.52/3,271.05 = 719.17/x
  3. Step 3: Cross multiply
    2,180.52x = 3,271.05 × 719.17
  4. Step 4: Simplify right side
    2,180.52x = 2,352,432.85
  5. Step 5: Solve for x
    x = 2,352,432.85/2,180.52
  6. Step 6: Final answer
    x = 1,078.84

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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.