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Finding the Fourth Proportional to 2,322, 3,201.48 and 1,901.84

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Solution

The fourth proportional to 2,322, 3,201.48 and 1,901.84 is: 2,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322 : 3,201.48 = 1,901.84 : x
  2. Step 2: Convert to fraction form
    2,322/3,201.48 = 1,901.84/x
  3. Step 3: Cross multiply
    2,322x = 3,201.48 × 1,901.84
  4. Step 4: Simplify right side
    2,322x = 6,088,702.72
  5. Step 5: Solve for x
    x = 6,088,702.72/2,322
  6. Step 6: Final answer
    x = 2,622.18

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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.