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Finding the Fourth Proportional to 2,080.69, 2,873.81 and 1,416.42

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Solution

The fourth proportional to 2,080.69, 2,873.81 and 1,416.42 is: 1,956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.69 : 2,873.81 = 1,416.42 : x
  2. Step 2: Convert to fraction form
    2,080.69/2,873.81 = 1,416.42/x
  3. Step 3: Cross multiply
    2,080.69x = 2,873.81 × 1,416.42
  4. Step 4: Simplify right side
    2,080.69x = 4,070,525.50
  5. Step 5: Solve for x
    x = 4,070,525.50/2,080.69
  6. Step 6: Final answer
    x = 1,956.34

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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.