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Finding the Fourth Proportional to 2,068.96, 3,099.32 and 969.98

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Solution

The fourth proportional to 2,068.96, 3,099.32 and 969.98 is: 1,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.96 : 3,099.32 = 969.98 : x
  2. Step 2: Convert to fraction form
    2,068.96/3,099.32 = 969.98/x
  3. Step 3: Cross multiply
    2,068.96x = 3,099.32 × 969.98
  4. Step 4: Simplify right side
    2,068.96x = 3,006,278.41
  5. Step 5: Solve for x
    x = 3,006,278.41/2,068.96
  6. Step 6: Final answer
    x = 1,453.04

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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.