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Finding the Fourth Proportional to 3,103.85, 4,648.16 and 2,004.89

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Solution

The fourth proportional to 3,103.85, 4,648.16 and 2,004.89 is: 3,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.85 : 4,648.16 = 2,004.89 : x
  2. Step 2: Convert to fraction form
    3,103.85/4,648.16 = 2,004.89/x
  3. Step 3: Cross multiply
    3,103.85x = 4,648.16 × 2,004.89
  4. Step 4: Simplify right side
    3,103.85x = 9,319,031.27
  5. Step 5: Solve for x
    x = 9,319,031.27/3,103.85
  6. Step 6: Final answer
    x = 3,002.41

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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.