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Finding the Fourth Proportional to 2,189.16, 3,281.79 and 955.62

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Solution

The fourth proportional to 2,189.16, 3,281.79 and 955.62 is: 1,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.16 : 3,281.79 = 955.62 : x
  2. Step 2: Convert to fraction form
    2,189.16/3,281.79 = 955.62/x
  3. Step 3: Cross multiply
    2,189.16x = 3,281.79 × 955.62
  4. Step 4: Simplify right side
    2,189.16x = 3,136,144.16
  5. Step 5: Solve for x
    x = 3,136,144.16/2,189.16
  6. Step 6: Final answer
    x = 1,432.58

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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.