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Finding the Fourth Proportional to 2,089.67, 2,883.75 and 1,250.41

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Solution

The fourth proportional to 2,089.67, 2,883.75 and 1,250.41 is: 1,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.67 : 2,883.75 = 1,250.41 : x
  2. Step 2: Convert to fraction form
    2,089.67/2,883.75 = 1,250.41/x
  3. Step 3: Cross multiply
    2,089.67x = 2,883.75 × 1,250.41
  4. Step 4: Simplify right side
    2,089.67x = 3,605,869.84
  5. Step 5: Solve for x
    x = 3,605,869.84/2,089.67
  6. Step 6: Final answer
    x = 1,725.57

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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.