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Finding the Fourth Proportional to 2,506.37, 3,766.23 and 2,348.73

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Solution

The fourth proportional to 2,506.37, 3,766.23 and 2,348.73 is: 3,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.37 : 3,766.23 = 2,348.73 : x
  2. Step 2: Convert to fraction form
    2,506.37/3,766.23 = 2,348.73/x
  3. Step 3: Cross multiply
    2,506.37x = 3,766.23 × 2,348.73
  4. Step 4: Simplify right side
    2,506.37x = 8,845,857.39
  5. Step 5: Solve for x
    x = 8,845,857.39/2,506.37
  6. Step 6: Final answer
    x = 3,529.36

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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.