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Finding the Fourth Proportional to 4,011, 6,017.70 and 1,702.68

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Solution

The fourth proportional to 4,011, 6,017.70 and 1,702.68 is: 2,554.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011 : 6,017.70 = 1,702.68 : x
  2. Step 2: Convert to fraction form
    4,011/6,017.70 = 1,702.68/x
  3. Step 3: Cross multiply
    4,011x = 6,017.70 × 1,702.68
  4. Step 4: Simplify right side
    4,011x = 10,246,217.44
  5. Step 5: Solve for x
    x = 10,246,217.44/4,011
  6. Step 6: Final answer
    x = 2,554.53

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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.