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Finding the Fourth Proportional to 2,189.18, 3,281.92 and 955.65

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Solution

The fourth proportional to 2,189.18, 3,281.92 and 955.65 is: 1,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.18 : 3,281.92 = 955.65 : x
  2. Step 2: Convert to fraction form
    2,189.18/3,281.92 = 955.65/x
  3. Step 3: Cross multiply
    2,189.18x = 3,281.92 × 955.65
  4. Step 4: Simplify right side
    2,189.18x = 3,136,366.85
  5. Step 5: Solve for x
    x = 3,136,366.85/2,189.18
  6. Step 6: Final answer
    x = 1,432.67

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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.