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Finding the Fourth Proportional to 3,123.05, 4,683.92 and 931.19

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Solution

The fourth proportional to 3,123.05, 4,683.92 and 931.19 is: 1,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.05 : 4,683.92 = 931.19 : x
  2. Step 2: Convert to fraction form
    3,123.05/4,683.92 = 931.19/x
  3. Step 3: Cross multiply
    3,123.05x = 4,683.92 × 931.19
  4. Step 4: Simplify right side
    3,123.05x = 4,361,591.39
  5. Step 5: Solve for x
    x = 4,361,591.39/3,123.05
  6. Step 6: Final answer
    x = 1,396.58

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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.