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Finding the Fourth Proportional to 3,063.70, 4,595.34 and 1,658.55

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Solution

The fourth proportional to 3,063.70, 4,595.34 and 1,658.55 is: 2,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.70 : 4,595.34 = 1,658.55 : x
  2. Step 2: Convert to fraction form
    3,063.70/4,595.34 = 1,658.55/x
  3. Step 3: Cross multiply
    3,063.70x = 4,595.34 × 1,658.55
  4. Step 4: Simplify right side
    3,063.70x = 7,621,601.16
  5. Step 5: Solve for x
    x = 7,621,601.16/3,063.70
  6. Step 6: Final answer
    x = 2,487.71

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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.