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Finding the Fourth Proportional to 2,019.84, 3,029.78 and 559.11

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Solution

The fourth proportional to 2,019.84, 3,029.78 and 559.11 is: 838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.84 : 3,029.78 = 559.11 : x
  2. Step 2: Convert to fraction form
    2,019.84/3,029.78 = 559.11/x
  3. Step 3: Cross multiply
    2,019.84x = 3,029.78 × 559.11
  4. Step 4: Simplify right side
    2,019.84x = 1,693,977.50
  5. Step 5: Solve for x
    x = 1,693,977.50/2,019.84
  6. Step 6: Final answer
    x = 838.67

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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.