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Finding the Fourth Proportional to 1,808, 2,494.20 and 1,284.32

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Solution

The fourth proportional to 1,808, 2,494.20 and 1,284.32 is: 1,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808 : 2,494.20 = 1,284.32 : x
  2. Step 2: Convert to fraction form
    1,808/2,494.20 = 1,284.32/x
  3. Step 3: Cross multiply
    1,808x = 2,494.20 × 1,284.32
  4. Step 4: Simplify right side
    1,808x = 3,203,350.94
  5. Step 5: Solve for x
    x = 3,203,350.94/1,808
  6. Step 6: Final answer
    x = 1,771.76

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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.