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Finding the Fourth Proportional to 2,020.01, 3,029.67 and 703.94

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Solution

The fourth proportional to 2,020.01, 3,029.67 and 703.94 is: 1,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.01 : 3,029.67 = 703.94 : x
  2. Step 2: Convert to fraction form
    2,020.01/3,029.67 = 703.94/x
  3. Step 3: Cross multiply
    2,020.01x = 3,029.67 × 703.94
  4. Step 4: Simplify right side
    2,020.01x = 2,132,690.75
  5. Step 5: Solve for x
    x = 2,132,690.75/2,020.01
  6. Step 6: Final answer
    x = 1,055.78

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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.