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Finding the Fourth Proportional to 1,922.88, 2,884.32 and 554.88

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Solution

The fourth proportional to 1,922.88, 2,884.32 and 554.88 is: 832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.88 : 2,884.32 = 554.88 : x
  2. Step 2: Convert to fraction form
    1,922.88/2,884.32 = 554.88/x
  3. Step 3: Cross multiply
    1,922.88x = 2,884.32 × 554.88
  4. Step 4: Simplify right side
    1,922.88x = 1,600,451.48
  5. Step 5: Solve for x
    x = 1,600,451.48/1,922.88
  6. Step 6: Final answer
    x = 832.32

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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.