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Finding the Fourth Proportional to 2,683.39, 4,023.60 and 927.58

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Solution

The fourth proportional to 2,683.39, 4,023.60 and 927.58 is: 1,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.39 : 4,023.60 = 927.58 : x
  2. Step 2: Convert to fraction form
    2,683.39/4,023.60 = 927.58/x
  3. Step 3: Cross multiply
    2,683.39x = 4,023.60 × 927.58
  4. Step 4: Simplify right side
    2,683.39x = 3,732,210.89
  5. Step 5: Solve for x
    x = 3,732,210.89/2,683.39
  6. Step 6: Final answer
    x = 1,390.86

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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.