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Finding the Fourth Proportional to 1,922.64, 2,651.88 and 1,893.84

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Solution

The fourth proportional to 1,922.64, 2,651.88 and 1,893.84 is: 2,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.64 : 2,651.88 = 1,893.84 : x
  2. Step 2: Convert to fraction form
    1,922.64/2,651.88 = 1,893.84/x
  3. Step 3: Cross multiply
    1,922.64x = 2,651.88 × 1,893.84
  4. Step 4: Simplify right side
    1,922.64x = 5,022,236.42
  5. Step 5: Solve for x
    x = 5,022,236.42/1,922.64
  6. Step 6: Final answer
    x = 2,612.16

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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.