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Finding the Fourth Proportional to 2,446.80, 3,670.20 and 2,094.45

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Solution

The fourth proportional to 2,446.80, 3,670.20 and 2,094.45 is: 3,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.80 : 3,670.20 = 2,094.45 : x
  2. Step 2: Convert to fraction form
    2,446.80/3,670.20 = 2,094.45/x
  3. Step 3: Cross multiply
    2,446.80x = 3,670.20 × 2,094.45
  4. Step 4: Simplify right side
    2,446.80x = 7,687,050.39
  5. Step 5: Solve for x
    x = 7,687,050.39/2,446.80
  6. Step 6: Final answer
    x = 3,141.68

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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.