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Finding the Fourth Proportional to 2,089.33, 3,132.17 and 856.41

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Solution

The fourth proportional to 2,089.33, 3,132.17 and 856.41 is: 1,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.33 : 3,132.17 = 856.41 : x
  2. Step 2: Convert to fraction form
    2,089.33/3,132.17 = 856.41/x
  3. Step 3: Cross multiply
    2,089.33x = 3,132.17 × 856.41
  4. Step 4: Simplify right side
    2,089.33x = 2,682,408.89
  5. Step 5: Solve for x
    x = 2,682,408.89/2,089.33
  6. Step 6: Final answer
    x = 1,283.86

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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.