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Finding the Fourth Proportional to 3,302.92, 4,954.50 and 1,658.58

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Solution

The fourth proportional to 3,302.92, 4,954.50 and 1,658.58 is: 2,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.92 : 4,954.50 = 1,658.58 : x
  2. Step 2: Convert to fraction form
    3,302.92/4,954.50 = 1,658.58/x
  3. Step 3: Cross multiply
    3,302.92x = 4,954.50 × 1,658.58
  4. Step 4: Simplify right side
    3,302.92x = 8,217,416.03
  5. Step 5: Solve for x
    x = 8,217,416.03/3,302.92
  6. Step 6: Final answer
    x = 2,487.92

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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.