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Finding the Fourth Proportional to 2,412.38, 3,618.20 and 931.39

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Solution

The fourth proportional to 2,412.38, 3,618.20 and 931.39 is: 1,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.38 : 3,618.20 = 931.39 : x
  2. Step 2: Convert to fraction form
    2,412.38/3,618.20 = 931.39/x
  3. Step 3: Cross multiply
    2,412.38x = 3,618.20 × 931.39
  4. Step 4: Simplify right side
    2,412.38x = 3,369,968.93
  5. Step 5: Solve for x
    x = 3,369,968.93/2,412.38
  6. Step 6: Final answer
    x = 1,396.95

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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.