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Finding the Fourth Proportional to 2,596.07, 3,893.97 and 952.51

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Solution

The fourth proportional to 2,596.07, 3,893.97 and 952.51 is: 1,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.07 : 3,893.97 = 952.51 : x
  2. Step 2: Convert to fraction form
    2,596.07/3,893.97 = 952.51/x
  3. Step 3: Cross multiply
    2,596.07x = 3,893.97 × 952.51
  4. Step 4: Simplify right side
    2,596.07x = 3,709,046.50
  5. Step 5: Solve for x
    x = 3,709,046.50/2,596.07
  6. Step 6: Final answer
    x = 1,428.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.