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Finding the Fourth Proportional to 2,027.76, 3,054.64 and 1,518

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Solution

The fourth proportional to 2,027.76, 3,054.64 and 1,518 is: 2,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.76 : 3,054.64 = 1,518 : x
  2. Step 2: Convert to fraction form
    2,027.76/3,054.64 = 1,518/x
  3. Step 3: Cross multiply
    2,027.76x = 3,054.64 × 1,518
  4. Step 4: Simplify right side
    2,027.76x = 4,636,943.52
  5. Step 5: Solve for x
    x = 4,636,943.52/2,027.76
  6. Step 6: Final answer
    x = 2,286.73

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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.