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Finding the Fourth Proportional to 2,020.41, 3,029.64 and 704.13

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Solution

The fourth proportional to 2,020.41, 3,029.64 and 704.13 is: 1,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.41 : 3,029.64 = 704.13 : x
  2. Step 2: Convert to fraction form
    2,020.41/3,029.64 = 704.13/x
  3. Step 3: Cross multiply
    2,020.41x = 3,029.64 × 704.13
  4. Step 4: Simplify right side
    2,020.41x = 2,133,271.77
  5. Step 5: Solve for x
    x = 2,133,271.77/2,020.41
  6. Step 6: Final answer
    x = 1,055.86

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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.