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Finding the Fourth Proportional to 2,068.81, 3,100.91 and 898.43

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Solution

The fourth proportional to 2,068.81, 3,100.91 and 898.43 is: 1,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.81 : 3,100.91 = 898.43 : x
  2. Step 2: Convert to fraction form
    2,068.81/3,100.91 = 898.43/x
  3. Step 3: Cross multiply
    2,068.81x = 3,100.91 × 898.43
  4. Step 4: Simplify right side
    2,068.81x = 2,785,930.57
  5. Step 5: Solve for x
    x = 2,785,930.57/2,068.81
  6. Step 6: Final answer
    x = 1,346.64

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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.