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Finding the Fourth Proportional to 1,955.52, 2,932.74 and 801

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Solution

The fourth proportional to 1,955.52, 2,932.74 and 801 is: 1,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.52 : 2,932.74 = 801 : x
  2. Step 2: Convert to fraction form
    1,955.52/2,932.74 = 801/x
  3. Step 3: Cross multiply
    1,955.52x = 2,932.74 × 801
  4. Step 4: Simplify right side
    1,955.52x = 2,349,124.74
  5. Step 5: Solve for x
    x = 2,349,124.74/1,955.52
  6. Step 6: Final answer
    x = 1,201.28

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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.