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Finding the Fourth Proportional to 2,596.70, 3,892.75 and 952.88

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Solution

The fourth proportional to 2,596.70, 3,892.75 and 952.88 is: 1,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.70 : 3,892.75 = 952.88 : x
  2. Step 2: Convert to fraction form
    2,596.70/3,892.75 = 952.88/x
  3. Step 3: Cross multiply
    2,596.70x = 3,892.75 × 952.88
  4. Step 4: Simplify right side
    2,596.70x = 3,709,301.77
  5. Step 5: Solve for x
    x = 3,709,301.77/2,596.70
  6. Step 6: Final answer
    x = 1,428.47

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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.