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Finding the Fourth Proportional to 1,596.47, 2,391.68 and 1,338.14

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Solution

The fourth proportional to 1,596.47, 2,391.68 and 1,338.14 is: 2,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.47 : 2,391.68 = 1,338.14 : x
  2. Step 2: Convert to fraction form
    1,596.47/2,391.68 = 1,338.14/x
  3. Step 3: Cross multiply
    1,596.47x = 2,391.68 × 1,338.14
  4. Step 4: Simplify right side
    1,596.47x = 3,200,384.03
  5. Step 5: Solve for x
    x = 3,200,384.03/1,596.47
  6. Step 6: Final answer
    x = 2,004.67

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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.