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Finding the Fourth Proportional to 3,267.14, 4,900.10 and 1,702.22

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Solution

The fourth proportional to 3,267.14, 4,900.10 and 1,702.22 is: 2,553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.14 : 4,900.10 = 1,702.22 : x
  2. Step 2: Convert to fraction form
    3,267.14/4,900.10 = 1,702.22/x
  3. Step 3: Cross multiply
    3,267.14x = 4,900.10 × 1,702.22
  4. Step 4: Simplify right side
    3,267.14x = 8,341,015.21
  5. Step 5: Solve for x
    x = 8,341,015.21/3,267.14
  6. Step 6: Final answer
    x = 2,553.01

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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.