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Finding the Fourth Proportional to 2,263.20, 3,178.20 and 2,263.20

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Solution

The fourth proportional to 2,263.20, 3,178.20 and 2,263.20 is: 3,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.20 : 3,178.20 = 2,263.20 : x
  2. Step 2: Convert to fraction form
    2,263.20/3,178.20 = 2,263.20/x
  3. Step 3: Cross multiply
    2,263.20x = 3,178.20 × 2,263.20
  4. Step 4: Simplify right side
    2,263.20x = 7,192,902.24
  5. Step 5: Solve for x
    x = 7,192,902.24/2,263.20
  6. Step 6: Final answer
    x = 3,178.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.