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Finding the Fourth Proportional to 3,135.14, 4,702.11 and 1,186.70

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Solution

The fourth proportional to 3,135.14, 4,702.11 and 1,186.70 is: 1,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.14 : 4,702.11 = 1,186.70 : x
  2. Step 2: Convert to fraction form
    3,135.14/4,702.11 = 1,186.70/x
  3. Step 3: Cross multiply
    3,135.14x = 4,702.11 × 1,186.70
  4. Step 4: Simplify right side
    3,135.14x = 5,579,993.94
  5. Step 5: Solve for x
    x = 5,579,993.94/3,135.14
  6. Step 6: Final answer
    x = 1,779.82

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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.