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Finding the Fourth Proportional to 2,496.22, 3,745.10 and 852.76

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Solution

The fourth proportional to 2,496.22, 3,745.10 and 852.76 is: 1,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.22 : 3,745.10 = 852.76 : x
  2. Step 2: Convert to fraction form
    2,496.22/3,745.10 = 852.76/x
  3. Step 3: Cross multiply
    2,496.22x = 3,745.10 × 852.76
  4. Step 4: Simplify right side
    2,496.22x = 3,193,671.48
  5. Step 5: Solve for x
    x = 3,193,671.48/2,496.22
  6. Step 6: Final answer
    x = 1,279.40

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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.