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Finding the Fourth Proportional to 2,827.92, 4,238.55 and 1,658.49

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Solution

The fourth proportional to 2,827.92, 4,238.55 and 1,658.49 is: 2,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.92 : 4,238.55 = 1,658.49 : x
  2. Step 2: Convert to fraction form
    2,827.92/4,238.55 = 1,658.49/x
  3. Step 3: Cross multiply
    2,827.92x = 4,238.55 × 1,658.49
  4. Step 4: Simplify right side
    2,827.92x = 7,029,592.79
  5. Step 5: Solve for x
    x = 7,029,592.79/2,827.92
  6. Step 6: Final answer
    x = 2,485.78

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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.