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Finding the Fourth Proportional to 2,596.40, 3,889.94 and 1,425.14

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Solution

The fourth proportional to 2,596.40, 3,889.94 and 1,425.14 is: 2,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.40 : 3,889.94 = 1,425.14 : x
  2. Step 2: Convert to fraction form
    2,596.40/3,889.94 = 1,425.14/x
  3. Step 3: Cross multiply
    2,596.40x = 3,889.94 × 1,425.14
  4. Step 4: Simplify right side
    2,596.40x = 5,543,709.09
  5. Step 5: Solve for x
    x = 5,543,709.09/2,596.40
  6. Step 6: Final answer
    x = 2,135.15

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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.