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Finding the Fourth Proportional to 2,128.21, 3,191.33 and 894.95

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Solution

The fourth proportional to 2,128.21, 3,191.33 and 894.95 is: 1,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.21 : 3,191.33 = 894.95 : x
  2. Step 2: Convert to fraction form
    2,128.21/3,191.33 = 894.95/x
  3. Step 3: Cross multiply
    2,128.21x = 3,191.33 × 894.95
  4. Step 4: Simplify right side
    2,128.21x = 2,856,079.03
  5. Step 5: Solve for x
    x = 2,856,079.03/2,128.21
  6. Step 6: Final answer
    x = 1,342.01

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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.