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Finding the Fourth Proportional to 2,131.28, 3,195.60 and 898.05

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Solution

The fourth proportional to 2,131.28, 3,195.60 and 898.05 is: 1,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.28 : 3,195.60 = 898.05 : x
  2. Step 2: Convert to fraction form
    2,131.28/3,195.60 = 898.05/x
  3. Step 3: Cross multiply
    2,131.28x = 3,195.60 × 898.05
  4. Step 4: Simplify right side
    2,131.28x = 2,869,808.58
  5. Step 5: Solve for x
    x = 2,869,808.58/2,131.28
  6. Step 6: Final answer
    x = 1,346.52

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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.