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Finding the Fourth Proportional to 3,410.82, 4,707.05 and 1,919.03

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Solution

The fourth proportional to 3,410.82, 4,707.05 and 1,919.03 is: 2,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.82 : 4,707.05 = 1,919.03 : x
  2. Step 2: Convert to fraction form
    3,410.82/4,707.05 = 1,919.03/x
  3. Step 3: Cross multiply
    3,410.82x = 4,707.05 × 1,919.03
  4. Step 4: Simplify right side
    3,410.82x = 9,032,937.03
  5. Step 5: Solve for x
    x = 9,032,937.03/3,410.82
  6. Step 6: Final answer
    x = 2,648.32

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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.