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Finding the Fourth Proportional to 3,135.10, 4,702.12 and 1,469.40

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Solution

The fourth proportional to 3,135.10, 4,702.12 and 1,469.40 is: 2,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.10 : 4,702.12 = 1,469.40 : x
  2. Step 2: Convert to fraction form
    3,135.10/4,702.12 = 1,469.40/x
  3. Step 3: Cross multiply
    3,135.10x = 4,702.12 × 1,469.40
  4. Step 4: Simplify right side
    3,135.10x = 6,909,295.13
  5. Step 5: Solve for x
    x = 6,909,295.13/3,135.10
  6. Step 6: Final answer
    x = 2,203.85

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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.