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Finding the Fourth Proportional to 2,596.61, 3,891.80 and 952.26

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Solution

The fourth proportional to 2,596.61, 3,891.80 and 952.26 is: 1,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.61 : 3,891.80 = 952.26 : x
  2. Step 2: Convert to fraction form
    2,596.61/3,891.80 = 952.26/x
  3. Step 3: Cross multiply
    2,596.61x = 3,891.80 × 952.26
  4. Step 4: Simplify right side
    2,596.61x = 3,706,000.71
  5. Step 5: Solve for x
    x = 3,706,000.71/2,596.61
  6. Step 6: Final answer
    x = 1,427.25

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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.