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Finding the Fourth Proportional to 3,409.68, 5,107.84 and 1,767.31

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Solution

The fourth proportional to 3,409.68, 5,107.84 and 1,767.31 is: 2,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.68 : 5,107.84 = 1,767.31 : x
  2. Step 2: Convert to fraction form
    3,409.68/5,107.84 = 1,767.31/x
  3. Step 3: Cross multiply
    3,409.68x = 5,107.84 × 1,767.31
  4. Step 4: Simplify right side
    3,409.68x = 9,027,136.71
  5. Step 5: Solve for x
    x = 9,027,136.71/3,409.68
  6. Step 6: Final answer
    x = 2,647.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.