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Finding the Fourth Proportional to 2,469.70, 3,702.13 and 1,235.26

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Solution

The fourth proportional to 2,469.70, 3,702.13 and 1,235.26 is: 1,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.70 : 3,702.13 = 1,235.26 : x
  2. Step 2: Convert to fraction form
    2,469.70/3,702.13 = 1,235.26/x
  3. Step 3: Cross multiply
    2,469.70x = 3,702.13 × 1,235.26
  4. Step 4: Simplify right side
    2,469.70x = 4,573,093.10
  5. Step 5: Solve for x
    x = 4,573,093.10/2,469.70
  6. Step 6: Final answer
    x = 1,851.68

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1.5x scale

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.