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Finding the Fourth Proportional to 2,119.93, 3,180.08 and 559.94

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Solution

The fourth proportional to 2,119.93, 3,180.08 and 559.94 is: 839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.93 : 3,180.08 = 559.94 : x
  2. Step 2: Convert to fraction form
    2,119.93/3,180.08 = 559.94/x
  3. Step 3: Cross multiply
    2,119.93x = 3,180.08 × 559.94
  4. Step 4: Simplify right side
    2,119.93x = 1,780,639.49
  5. Step 5: Solve for x
    x = 1,780,639.49/2,119.93
  6. Step 6: Final answer
    x = 839.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.