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Finding the Fourth Proportional to 3,392.94, 4,682.32 and 1,901

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Solution

The fourth proportional to 3,392.94, 4,682.32 and 1,901 is: 2,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.94 : 4,682.32 = 1,901 : x
  2. Step 2: Convert to fraction form
    3,392.94/4,682.32 = 1,901/x
  3. Step 3: Cross multiply
    3,392.94x = 4,682.32 × 1,901
  4. Step 4: Simplify right side
    3,392.94x = 8,901,090.32
  5. Step 5: Solve for x
    x = 8,901,090.32/3,392.94
  6. Step 6: Final answer
    x = 2,623.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.