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Finding the Fourth Proportional to 3,410.74, 4,706.49 and 1,919.17

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Solution

The fourth proportional to 3,410.74, 4,706.49 and 1,919.17 is: 2,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.74 : 4,706.49 = 1,919.17 : x
  2. Step 2: Convert to fraction form
    3,410.74/4,706.49 = 1,919.17/x
  3. Step 3: Cross multiply
    3,410.74x = 4,706.49 × 1,919.17
  4. Step 4: Simplify right side
    3,410.74x = 9,032,544.82
  5. Step 5: Solve for x
    x = 9,032,544.82/3,410.74
  6. Step 6: Final answer
    x = 2,648.27

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1.5x scale

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.