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Finding the Fourth Proportional to 1,952.62, 2,927.77 and 1,540.46

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Solution

The fourth proportional to 1,952.62, 2,927.77 and 1,540.46 is: 2,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.62 : 2,927.77 = 1,540.46 : x
  2. Step 2: Convert to fraction form
    1,952.62/2,927.77 = 1,540.46/x
  3. Step 3: Cross multiply
    1,952.62x = 2,927.77 × 1,540.46
  4. Step 4: Simplify right side
    1,952.62x = 4,510,112.57
  5. Step 5: Solve for x
    x = 4,510,112.57/1,952.62
  6. Step 6: Final answer
    x = 2,309.77

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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.