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Finding the Fourth Proportional to 2,964.96, 4,446.70 and 1,404.56

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Solution

The fourth proportional to 2,964.96, 4,446.70 and 1,404.56 is: 2,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.96 : 4,446.70 = 1,404.56 : x
  2. Step 2: Convert to fraction form
    2,964.96/4,446.70 = 1,404.56/x
  3. Step 3: Cross multiply
    2,964.96x = 4,446.70 × 1,404.56
  4. Step 4: Simplify right side
    2,964.96x = 6,245,656.95
  5. Step 5: Solve for x
    x = 6,245,656.95/2,964.96
  6. Step 6: Final answer
    x = 2,106.49

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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.