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Finding the Fourth Proportional to 2,188.90, 3,284.72 and 890.38

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Solution

The fourth proportional to 2,188.90, 3,284.72 and 890.38 is: 1,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.90 : 3,284.72 = 890.38 : x
  2. Step 2: Convert to fraction form
    2,188.90/3,284.72 = 890.38/x
  3. Step 3: Cross multiply
    2,188.90x = 3,284.72 × 890.38
  4. Step 4: Simplify right side
    2,188.90x = 2,924,648.99
  5. Step 5: Solve for x
    x = 2,924,648.99/2,188.90
  6. Step 6: Final answer
    x = 1,336.13

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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.