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Finding the Fourth Proportional to 2,101.69, 3,153.84 and 1,426.96

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Solution

The fourth proportional to 2,101.69, 3,153.84 and 1,426.96 is: 2,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.69 : 3,153.84 = 1,426.96 : x
  2. Step 2: Convert to fraction form
    2,101.69/3,153.84 = 1,426.96/x
  3. Step 3: Cross multiply
    2,101.69x = 3,153.84 × 1,426.96
  4. Step 4: Simplify right side
    2,101.69x = 4,500,403.53
  5. Step 5: Solve for x
    x = 4,500,403.53/2,101.69
  6. Step 6: Final answer
    x = 2,141.33

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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.