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Finding the Fourth Proportional to 3,107.07, 4,659.84 and 855.54

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Solution

The fourth proportional to 3,107.07, 4,659.84 and 855.54 is: 1,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.07 : 4,659.84 = 855.54 : x
  2. Step 2: Convert to fraction form
    3,107.07/4,659.84 = 855.54/x
  3. Step 3: Cross multiply
    3,107.07x = 4,659.84 × 855.54
  4. Step 4: Simplify right side
    3,107.07x = 3,986,679.51
  5. Step 5: Solve for x
    x = 3,986,679.51/3,107.07
  6. Step 6: Final answer
    x = 1,283.10

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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.