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Finding the Fourth Proportional to 2,019.95, 3,029.41 and 1,433.24

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Solution

The fourth proportional to 2,019.95, 3,029.41 and 1,433.24 is: 2,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.95 : 3,029.41 = 1,433.24 : x
  2. Step 2: Convert to fraction form
    2,019.95/3,029.41 = 1,433.24/x
  3. Step 3: Cross multiply
    2,019.95x = 3,029.41 × 1,433.24
  4. Step 4: Simplify right side
    2,019.95x = 4,341,871.59
  5. Step 5: Solve for x
    x = 4,341,871.59/2,019.95
  6. Step 6: Final answer
    x = 2,149.49

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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.