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Finding the Fourth Proportional to 2,892.88, 4,335.26 and 1,658.44

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Solution

The fourth proportional to 2,892.88, 4,335.26 and 1,658.44 is: 2,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.88 : 4,335.26 = 1,658.44 : x
  2. Step 2: Convert to fraction form
    2,892.88/4,335.26 = 1,658.44/x
  3. Step 3: Cross multiply
    2,892.88x = 4,335.26 × 1,658.44
  4. Step 4: Simplify right side
    2,892.88x = 7,189,768.59
  5. Step 5: Solve for x
    x = 7,189,768.59/2,892.88
  6. Step 6: Final answer
    x = 2,485.33

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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.