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Finding the Fourth Proportional to 2,019.57, 3,029.50 and 1,045.85

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Solution

The fourth proportional to 2,019.57, 3,029.50 and 1,045.85 is: 1,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.57 : 3,029.50 = 1,045.85 : x
  2. Step 2: Convert to fraction form
    2,019.57/3,029.50 = 1,045.85/x
  3. Step 3: Cross multiply
    2,019.57x = 3,029.50 × 1,045.85
  4. Step 4: Simplify right side
    2,019.57x = 3,168,388.73
  5. Step 5: Solve for x
    x = 3,168,388.73/2,019.57
  6. Step 6: Final answer
    x = 1,568.85

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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.