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Finding the Fourth Proportional to 3,134.80, 4,702.20 and 2,405.80

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Solution

The fourth proportional to 3,134.80, 4,702.20 and 2,405.80 is: 3,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.80 : 4,702.20 = 2,405.80 : x
  2. Step 2: Convert to fraction form
    3,134.80/4,702.20 = 2,405.80/x
  3. Step 3: Cross multiply
    3,134.80x = 4,702.20 × 2,405.80
  4. Step 4: Simplify right side
    3,134.80x = 11,312,552.76
  5. Step 5: Solve for x
    x = 11,312,552.76/3,134.80
  6. Step 6: Final answer
    x = 3,608.70

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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.