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Finding the Fourth Proportional to 3,412.69, 4,709.46 and 1,900.24

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Solution

The fourth proportional to 3,412.69, 4,709.46 and 1,900.24 is: 2,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.69 : 4,709.46 = 1,900.24 : x
  2. Step 2: Convert to fraction form
    3,412.69/4,709.46 = 1,900.24/x
  3. Step 3: Cross multiply
    3,412.69x = 4,709.46 × 1,900.24
  4. Step 4: Simplify right side
    3,412.69x = 8,949,104.27
  5. Step 5: Solve for x
    x = 8,949,104.27/3,412.69
  6. Step 6: Final answer
    x = 2,622.30

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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.