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Finding the Fourth Proportional to 3,187.29, 4,770.70 and 1,702.80

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Solution

The fourth proportional to 3,187.29, 4,770.70 and 1,702.80 is: 2,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.29 : 4,770.70 = 1,702.80 : x
  2. Step 2: Convert to fraction form
    3,187.29/4,770.70 = 1,702.80/x
  3. Step 3: Cross multiply
    3,187.29x = 4,770.70 × 1,702.80
  4. Step 4: Simplify right side
    3,187.29x = 8,123,543.70
  5. Step 5: Solve for x
    x = 8,123,543.70/3,187.29
  6. Step 6: Final answer
    x = 2,548.73

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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.