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Finding the Fourth Proportional to 2,068.98, 3,101.72 and 898.09

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Solution

The fourth proportional to 2,068.98, 3,101.72 and 898.09 is: 1,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.98 : 3,101.72 = 898.09 : x
  2. Step 2: Convert to fraction form
    2,068.98/3,101.72 = 898.09/x
  3. Step 3: Cross multiply
    2,068.98x = 3,101.72 × 898.09
  4. Step 4: Simplify right side
    2,068.98x = 2,785,627.08
  5. Step 5: Solve for x
    x = 2,785,627.08/2,068.98
  6. Step 6: Final answer
    x = 1,346.38

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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.