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Finding the Fourth Proportional to 2,080.22, 3,120.32 and 847.35

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Solution

The fourth proportional to 2,080.22, 3,120.32 and 847.35 is: 1,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.22 : 3,120.32 = 847.35 : x
  2. Step 2: Convert to fraction form
    2,080.22/3,120.32 = 847.35/x
  3. Step 3: Cross multiply
    2,080.22x = 3,120.32 × 847.35
  4. Step 4: Simplify right side
    2,080.22x = 2,643,998.92
  5. Step 5: Solve for x
    x = 2,643,998.92/2,080.22
  6. Step 6: Final answer
    x = 1,271.02

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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.