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Finding the Fourth Proportional to 2,129.40, 3,190.25 and 894.59

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Solution

The fourth proportional to 2,129.40, 3,190.25 and 894.59 is: 1,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.40 : 3,190.25 = 894.59 : x
  2. Step 2: Convert to fraction form
    2,129.40/3,190.25 = 894.59/x
  3. Step 3: Cross multiply
    2,129.40x = 3,190.25 × 894.59
  4. Step 4: Simplify right side
    2,129.40x = 2,853,965.75
  5. Step 5: Solve for x
    x = 2,853,965.75/2,129.40
  6. Step 6: Final answer
    x = 1,340.27

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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.