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Finding the Fourth Proportional to 3,409.28, 4,704.85 and 1,917.11

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Solution

The fourth proportional to 3,409.28, 4,704.85 and 1,917.11 is: 2,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.28 : 4,704.85 = 1,917.11 : x
  2. Step 2: Convert to fraction form
    3,409.28/4,704.85 = 1,917.11/x
  3. Step 3: Cross multiply
    3,409.28x = 4,704.85 × 1,917.11
  4. Step 4: Simplify right side
    3,409.28x = 9,019,714.98
  5. Step 5: Solve for x
    x = 9,019,714.98/3,409.28
  6. Step 6: Final answer
    x = 2,645.64

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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.