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Finding the Fourth Proportional to 2,467.80, 3,404.16 and 1,419.66

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Solution

The fourth proportional to 2,467.80, 3,404.16 and 1,419.66 is: 1,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.80 : 3,404.16 = 1,419.66 : x
  2. Step 2: Convert to fraction form
    2,467.80/3,404.16 = 1,419.66/x
  3. Step 3: Cross multiply
    2,467.80x = 3,404.16 × 1,419.66
  4. Step 4: Simplify right side
    2,467.80x = 4,832,749.79
  5. Step 5: Solve for x
    x = 4,832,749.79/2,467.80
  6. Step 6: Final answer
    x = 1,958.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.