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Finding the Fourth Proportional to 2,101.99, 3,153.09 and 1,488.44

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Solution

The fourth proportional to 2,101.99, 3,153.09 and 1,488.44 is: 2,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.99 : 3,153.09 = 1,488.44 : x
  2. Step 2: Convert to fraction form
    2,101.99/3,153.09 = 1,488.44/x
  3. Step 3: Cross multiply
    2,101.99x = 3,153.09 × 1,488.44
  4. Step 4: Simplify right side
    2,101.99x = 4,693,185.28
  5. Step 5: Solve for x
    x = 4,693,185.28/2,101.99
  6. Step 6: Final answer
    x = 2,232.73

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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.