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Finding the Fourth Proportional to 2,188.91, 3,281.31 and 955.31

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Solution

The fourth proportional to 2,188.91, 3,281.31 and 955.31 is: 1,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.91 : 3,281.31 = 955.31 : x
  2. Step 2: Convert to fraction form
    2,188.91/3,281.31 = 955.31/x
  3. Step 3: Cross multiply
    2,188.91x = 3,281.31 × 955.31
  4. Step 4: Simplify right side
    2,188.91x = 3,134,651.85
  5. Step 5: Solve for x
    x = 3,134,651.85/2,188.91
  6. Step 6: Final answer
    x = 1,432.06

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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.