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Finding the Fourth Proportional to 2,126.30, 3,189.60 and 893.84

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Solution

The fourth proportional to 2,126.30, 3,189.60 and 893.84 is: 1,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.30 : 3,189.60 = 893.84 : x
  2. Step 2: Convert to fraction form
    2,126.30/3,189.60 = 893.84/x
  3. Step 3: Cross multiply
    2,126.30x = 3,189.60 × 893.84
  4. Step 4: Simplify right side
    2,126.30x = 2,850,992.06
  5. Step 5: Solve for x
    x = 2,850,992.06/2,126.30
  6. Step 6: Final answer
    x = 1,340.82

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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.