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Finding the Fourth Proportional to 1,774.94, 2,449.19 and 1,028.80

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Solution

The fourth proportional to 1,774.94, 2,449.19 and 1,028.80 is: 1,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.94 : 2,449.19 = 1,028.80 : x
  2. Step 2: Convert to fraction form
    1,774.94/2,449.19 = 1,028.80/x
  3. Step 3: Cross multiply
    1,774.94x = 2,449.19 × 1,028.80
  4. Step 4: Simplify right side
    1,774.94x = 2,519,714.43
  5. Step 5: Solve for x
    x = 2,519,714.43/1,774.94
  6. Step 6: Final answer
    x = 1,419.61

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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.