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Finding the Fourth Proportional to 2,080.96, 2,871.08 and 1,184.63

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Solution

The fourth proportional to 2,080.96, 2,871.08 and 1,184.63 is: 1,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.96 : 2,871.08 = 1,184.63 : x
  2. Step 2: Convert to fraction form
    2,080.96/2,871.08 = 1,184.63/x
  3. Step 3: Cross multiply
    2,080.96x = 2,871.08 × 1,184.63
  4. Step 4: Simplify right side
    2,080.96x = 3,401,161.58
  5. Step 5: Solve for x
    x = 3,401,161.58/2,080.96
  6. Step 6: Final answer
    x = 1,634.42

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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.