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Finding the Fourth Proportional to 2,459.39, 3,687.87 and 815.38

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Solution

The fourth proportional to 2,459.39, 3,687.87 and 815.38 is: 1,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.39 : 3,687.87 = 815.38 : x
  2. Step 2: Convert to fraction form
    2,459.39/3,687.87 = 815.38/x
  3. Step 3: Cross multiply
    2,459.39x = 3,687.87 × 815.38
  4. Step 4: Simplify right side
    2,459.39x = 3,007,008.73
  5. Step 5: Solve for x
    x = 3,007,008.73/2,459.39
  6. Step 6: Final answer
    x = 1,222.67

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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.