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Finding the Fourth Proportional to 3,410.96, 4,706.94 and 1,919.12

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Solution

The fourth proportional to 3,410.96, 4,706.94 and 1,919.12 is: 2,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.96 : 4,706.94 = 1,919.12 : x
  2. Step 2: Convert to fraction form
    3,410.96/4,706.94 = 1,919.12/x
  3. Step 3: Cross multiply
    3,410.96x = 4,706.94 × 1,919.12
  4. Step 4: Simplify right side
    3,410.96x = 9,033,182.69
  5. Step 5: Solve for x
    x = 9,033,182.69/3,410.96
  6. Step 6: Final answer
    x = 2,648.28

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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.