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Finding the Fourth Proportional to 2,573.23, 3,858.82 and 928.88

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Solution

The fourth proportional to 2,573.23, 3,858.82 and 928.88 is: 1,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.23 : 3,858.82 = 928.88 : x
  2. Step 2: Convert to fraction form
    2,573.23/3,858.82 = 928.88/x
  3. Step 3: Cross multiply
    2,573.23x = 3,858.82 × 928.88
  4. Step 4: Simplify right side
    2,573.23x = 3,584,380.72
  5. Step 5: Solve for x
    x = 3,584,380.72/2,573.23
  6. Step 6: Final answer
    x = 1,392.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.