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Finding the Fourth Proportional to 2,906.80, 4,362.90 and 2,496.40

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Solution

The fourth proportional to 2,906.80, 4,362.90 and 2,496.40 is: 3,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.80 : 4,362.90 = 2,496.40 : x
  2. Step 2: Convert to fraction form
    2,906.80/4,362.90 = 2,496.40/x
  3. Step 3: Cross multiply
    2,906.80x = 4,362.90 × 2,496.40
  4. Step 4: Simplify right side
    2,906.80x = 10,891,543.56
  5. Step 5: Solve for x
    x = 10,891,543.56/2,906.80
  6. Step 6: Final answer
    x = 3,746.92

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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.