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Finding the Fourth Proportional to 1,596.28, 2,394.42 and 1,379.20

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Solution

The fourth proportional to 1,596.28, 2,394.42 and 1,379.20 is: 2,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.28 : 2,394.42 = 1,379.20 : x
  2. Step 2: Convert to fraction form
    1,596.28/2,394.42 = 1,379.20/x
  3. Step 3: Cross multiply
    1,596.28x = 2,394.42 × 1,379.20
  4. Step 4: Simplify right side
    1,596.28x = 3,302,384.06
  5. Step 5: Solve for x
    x = 3,302,384.06/1,596.28
  6. Step 6: Final answer
    x = 2,068.80

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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.