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Finding the Fourth Proportional to 2,080.39, 2,871.53 and 1,230.43

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Solution

The fourth proportional to 2,080.39, 2,871.53 and 1,230.43 is: 1,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.39 : 2,871.53 = 1,230.43 : x
  2. Step 2: Convert to fraction form
    2,080.39/2,871.53 = 1,230.43/x
  3. Step 3: Cross multiply
    2,080.39x = 2,871.53 × 1,230.43
  4. Step 4: Simplify right side
    2,080.39x = 3,533,216.66
  5. Step 5: Solve for x
    x = 3,533,216.66/2,080.39
  6. Step 6: Final answer
    x = 1,698.34

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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.