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Finding the Fourth Proportional to 2,002.85, 3,004.41 and 1,271.42

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Solution

The fourth proportional to 2,002.85, 3,004.41 and 1,271.42 is: 1,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.85 : 3,004.41 = 1,271.42 : x
  2. Step 2: Convert to fraction form
    2,002.85/3,004.41 = 1,271.42/x
  3. Step 3: Cross multiply
    2,002.85x = 3,004.41 × 1,271.42
  4. Step 4: Simplify right side
    2,002.85x = 3,819,866.96
  5. Step 5: Solve for x
    x = 3,819,866.96/2,002.85
  6. Step 6: Final answer
    x = 1,907.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.