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Finding the Fourth Proportional to 2,056.21, 3,083.52 and 739.57

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Solution

The fourth proportional to 2,056.21, 3,083.52 and 739.57 is: 1,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.21 : 3,083.52 = 739.57 : x
  2. Step 2: Convert to fraction form
    2,056.21/3,083.52 = 739.57/x
  3. Step 3: Cross multiply
    2,056.21x = 3,083.52 × 739.57
  4. Step 4: Simplify right side
    2,056.21x = 2,280,478.89
  5. Step 5: Solve for x
    x = 2,280,478.89/2,056.21
  6. Step 6: Final answer
    x = 1,109.07

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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.