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Finding the Fourth Proportional to 2,001.74, 2,759.51 and 1,554.21

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Solution

The fourth proportional to 2,001.74, 2,759.51 and 1,554.21 is: 2,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.74 : 2,759.51 = 1,554.21 : x
  2. Step 2: Convert to fraction form
    2,001.74/2,759.51 = 1,554.21/x
  3. Step 3: Cross multiply
    2,001.74x = 2,759.51 × 1,554.21
  4. Step 4: Simplify right side
    2,001.74x = 4,288,850.27
  5. Step 5: Solve for x
    x = 4,288,850.27/2,001.74
  6. Step 6: Final answer
    x = 2,142.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.