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Finding the Fourth Proportional to 2,028.76, 3,056.15 and 1,519

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Solution

The fourth proportional to 2,028.76, 3,056.15 and 1,519 is: 2,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.76 : 3,056.15 = 1,519 : x
  2. Step 2: Convert to fraction form
    2,028.76/3,056.15 = 1,519/x
  3. Step 3: Cross multiply
    2,028.76x = 3,056.15 × 1,519
  4. Step 4: Simplify right side
    2,028.76x = 4,642,291.85
  5. Step 5: Solve for x
    x = 4,642,291.85/2,028.76
  6. Step 6: Final answer
    x = 2,288.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.